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3831920640 = 21132541579
BaseRepresentation
bin1110010001100110…
…0111100000000000
3100220001102201220200
43210121213200000
530321432430030
61432123205200
7163646534202
oct34431474000
910801381820
103831920640
111697023769
128ab376800
13490b62682
14284cc0772
15176623d60
hexe4667800

3831920640 has 144 divisors (see below), whose sum is σ = 13281067800. Its totient is φ = 1021820928.

The previous prime is 3831920611. The next prime is 3831920641. The reversal of 3831920640 is 460291383.

3831920640 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 9 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3831920595 and 3831920604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3831920641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71371 + ... + 112949.

Almost surely, 23831920640 is an apocalyptic number.

3831920640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3831920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640533900).

3831920640 is an abundant number, since it is smaller than the sum of its proper divisors (9449147160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3831920640 is a wasteful number, since it uses less digits than its factorization.

3831920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41612 (or 41589 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3831920640 is about 61902.5091575455. The cubic root of 3831920640 is about 1564.8480344571.

The spelling of 3831920640 in words is "three billion, eight hundred thirty-one million, nine hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 41579 46080 83158 92160 124737 166316 207895 249474 332632 374211 415790 498948 623685 665264 748422 831580 997896 1247370 1330528 1496844 1663160 1871055 1995792 2494740 2661056 2993688 3326320 3742110 3991584 4989480 5322112 5987376 6652640 7484220 7983168 9978960 10644224 11974752 13305280 14968440 15966336 19957920 21288448 23949504 26610560 29936880 31932672 39915840 42576896 47899008 53221120 59873760 63865344 79831680 85153792 95798016 106442240 119747520 127730688 159663360 191596032 212884480 239495040 255461376 319326720 383192064 425768960 478990080 638653440 766384128 957980160 1277306880 1915960320 3831920640