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2081925360 = 2432513122073
BaseRepresentation
bin111110000010111…
…1010100011110000
312101002111202200200
41330011322203300
513230433102420
6542330515200
7102410034144
oct17405724360
95332452620
102081925360
11979213379
124a1295b00
1327242cbc8
1415a703224
15c2b96b90
hex7c17a8f0

2081925360 has 120 divisors (see below), whose sum is σ = 7045491024. Its totient is φ = 550917120.

The previous prime is 2081925359. The next prime is 2081925409. The reversal of 2081925360 is 635291802.

2081925360 is a `hidden beast` number, since 208 + 1 + 92 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20819253602 = 8668826409222259200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83284 + ... + 105356.

Almost surely, 22081925360 is an apocalyptic number.

2081925360 is a gapful number since it is divisible by the number (20) 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 2081925360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522745512).

2081925360 is an abundant number, since it is smaller than the sum of its proper divisors (4963565664).

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

2081925360 is a wasteful number, since it uses less digits than its factorization.

2081925360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22223 (or 22214 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2081925360 is about 45628.1202768644. The cubic root of 2081925360 is about 1276.8946042834.

The spelling of 2081925360 in words is "two billion, eighty-one million, nine hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 1048 1179 1310 1572 1965 2096 2358 2620 3144 3930 4716 5240 5895 6288 7860 9432 10480 11790 15720 18864 22073 23580 31440 44146 47160 66219 88292 94320 110365 132438 176584 198657 220730 264876 331095 353168 397314 441460 529752 662190 794628 882920 993285 1059504 1324380 1589256 1765840 1986570 2648760 2891563 3178512 3973140 5297520 5783126 7946280 8674689 11566252 14457815 15892560 17349378 23132504 26024067 28915630 34698756 43373445 46265008 52048134 57831260 69397512 86746890 104096268 115662520 130120335 138795024 173493780 208192536 231325040 260240670 346987560 416385072 520481340 693975120 1040962680 2081925360