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172057116 = 223711296421
BaseRepresentation
bin10100100000101…
…10001000011100
3102222202101222210
422100112020130
5323021311431
625023440420
74156314150
oct1220261034
9388671883
10172057116
1189138070
1249756110
132985275a
1418bcb060
1510189d46
hexa41621c

172057116 has 96 divisors (see below), whose sum is σ = 517870080. Its totient is φ = 43142400.

The previous prime is 172057049. The next prime is 172057117. The reversal of 172057116 is 611750271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172057117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23586 + ... + 30006.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2172057116 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 172057116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258935040).

172057116 is an abundant number, since it is smaller than the sum of its proper divisors (345812964).

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

172057116 is a wasteful number, since it uses less digits than its factorization.

172057116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 172057116 is about 13117.0543949471. The cubic root of 172057116 is about 556.1913278014.

The spelling of 172057116 in words is "one hundred seventy-two million, fifty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6421 6699 8932 12842 13398 19263 25684 26796 38526 44947 70631 77052 89894 134841 141262 179788 186209 211893 269682 282524 372418 423786 494417 539364 558627 744836 847572 988834 1117254 1303463 1483251 1977668 2048299 2234508 2606926 2966502 3910389 4096598 5213852 5933004 6144897 7820778 8193196 12289794 14338093 15641556 24579588 28676186 43014279 57352372 86028558 172057116