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123172192 = 25112132447
BaseRepresentation
bin1110101011101…
…11010101100000
322120202210111001
413111313111200
5223013002232
620120001344
73023642413
oct725672540
9276683431
10123172192
1163589100
1235300254
131c697a70
1412503b7a
15ac306e7
hex7577560

123172192 has 72 divisors (see below), whose sum is σ = 287165088. Its totient is φ = 51659520.

The previous prime is 123172183. The next prime is 123172201. The reversal of 123172192 is 291271321.

It is an interprime number because it is at equal distance from previous prime (123172183) and next prime (123172201).

It is a self number, because there is not a number n which added to its sum of digits gives 123172192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49113 + ... + 51559.

It is an arithmetic number, because the mean of its divisors is an integer number (3988404).

Almost surely, 2123172192 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 123172192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143582544).

123172192 is an abundant number, since it is smaller than the sum of its proper divisors (163992896).

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

123172192 is a wasteful number, since it uses less digits than its factorization.

123172192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2473 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 123172192 is about 11098.2968062672. The cubic root of 123172192 is about 497.5509465263.

The spelling of 123172192 in words is "one hundred twenty-three million, one hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 2447 3146 3872 4576 4894 6292 9788 12584 19576 25168 26917 31811 39152 50336 53834 63622 78304 107668 127244 215336 254488 296087 349921 430672 508976 592174 699842 861344 1017952 1184348 1399684 2368696 2799368 3849131 4737392 5598736 7698262 9474784 11197472 15396524 30793048 61586096 123172192