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2131060752 = 24341998263
BaseRepresentation
bin111111100000101…
…0110100000010000
312111111222002210000
41333001112200100
513331022421002
6551244010000
7103544501052
oct17701264020
95444862700
102131060752
119a3a23537
124b5830900
1327c6748c2
141630538d2
15c715061c
hex7f056810

2131060752 has 100 divisors (see below), whose sum is σ = 6199652800. Its totient is φ = 706698432.

The previous prime is 2131060747. The next prime is 2131060801. The reversal of 2131060752 is 2570601312.

It is a happy number.

2131060752 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 607 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 253773 + ... + 262035.

It is an arithmetic number, because the mean of its divisors is an integer number (61996528).

Almost surely, 22131060752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131060752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099826400).

2131060752 is an abundant number, since it is smaller than the sum of its proper divisors (4068592048).

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

2131060752 is a wasteful number, since it uses less digits than its factorization.

2131060752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2131060752 is about 46163.4135652900. The cubic root of 2131060752 is about 1286.8619018204.

The spelling of 2131060752 in words is "two billion, one hundred thirty-one million, sixty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 324 398 432 597 648 796 1194 1296 1592 1791 2388 3184 3582 4776 5373 7164 8263 9552 10746 14328 16119 16526 21492 24789 28656 32238 33052 42984 49578 64476 66104 74367 85968 99156 128952 132208 148734 198312 223101 257904 297468 396624 446202 594936 669303 892404 1189872 1338606 1644337 1784808 2677212 3288674 3569616 4933011 5354424 6577348 9866022 10708848 13154696 14799033 19732044 26309392 29598066 39464088 44397099 59196132 78928176 88794198 118392264 133191297 177588396 236784528 266382594 355176792 532765188 710353584 1065530376 2131060752