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3780925440 = 21135123077
BaseRepresentation
bin1110000101011100…
…0101100000000000
3100202111110220122120
43201113011200000
530220404103230
61423102204240
7162460223145
oct34127054000
910674426576
103780925440
111670263276
12896283680
134834192b6
1427c2083cc
15171dee310
hexe15c5800

3780925440 has 96 divisors (see below), whose sum is σ = 12096105840. Its totient is φ = 1008238592.

The previous prime is 3780925439. The next prime is 3780925451. The reversal of 3780925440 is 445290873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3780925392 and 3780925401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30819 + ... + 92258.

Almost surely, 23780925440 is an apocalyptic number.

3780925440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3780925440 is an abundant number, since it is smaller than the sum of its proper divisors (8315180400).

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

3780925440 is a wasteful number, since it uses less digits than its factorization.

3780925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123107 (or 123087 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3780925440 is about 61489.2302765289. The cubic root of 3780925440 is about 1557.8753456251.

The spelling of 3780925440 in words is "three billion, seven hundred eighty million, nine hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 123077 246154 369231 492308 615385 738462 984616 1230770 1476924 1846155 1969232 2461540 2953848 3692310 3938464 4923080 5907696 7384620 7876928 9846160 11815392 14769240 15753856 19692320 23630784 29538480 31507712 39384640 47261568 59076960 63015424 78769280 94523136 118153920 126030848 157538560 189046272 236307840 252061696 315077120 378092544 472615680 630154240 756185088 945231360 1260308480 1890462720 3780925440