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172840872 = 233193112227
BaseRepresentation
bin10100100110101…
…01011110101000
3110001020020002210
422103111132220
5323221401442
625052325120
74166060151
oct1223253650
9401206083
10172840872
11896229a6
1249a737a0
1329a68409
1418d52928
151029219c
hexa4d57a8

172840872 has 64 divisors (see below), whose sum is σ = 469555200. Its totient is φ = 52816320.

The previous prime is 172840849. The next prime is 172840879. The reversal of 172840872 is 278048271.

172840872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 172840872.

It is not an unprimeable number, because it can be changed into a prime (172840879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8023 + ... + 20249.

It is an arithmetic number, because the mean of its divisors is an integer number (7336800).

Almost surely, 2172840872 is an apocalyptic number.

172840872 is a gapful number since it is divisible by the number (12) 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 172840872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234777600).

172840872 is an abundant number, since it is smaller than the sum of its proper divisors (296714328).

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

172840872 is a wasteful number, since it uses less digits than its factorization.

172840872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286 (or 12282 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 172840872 is about 13146.8959073996. The cubic root of 172840872 is about 557.0345711593.

The spelling of 172840872 in words is "one hundred seventy-two million, eight hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 12227 14136 24454 36681 48908 73362 97816 146724 232313 293448 379037 464626 696939 758074 929252 1137111 1393878 1516148 1858504 2274222 2787756 3032296 4548444 5575512 7201703 9096888 14403406 21605109 28806812 43210218 57613624 86420436 172840872