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168874112 = 2711315373
BaseRepresentation
bin10100001000011…
…01000010000000
3102202202200201202
422010031002000
5321212432422
624431320332
74120256231
oct1204150200
9382680652
10168874112
1187363690
12486800a8
1328ca9a14
14185dd088
15ec5bb92
hexa10d080

168874112 has 128 divisors (see below), whose sum is σ = 391288320. Its totient is φ = 71884800.

The previous prime is 168874099. The next prime is 168874127. The reversal of 168874112 is 211478861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313308 + ... + 2313380.

It is an arithmetic number, because the mean of its divisors is an integer number (3056940).

Almost surely, 2168874112 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 168874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195644160).

168874112 is an abundant number, since it is smaller than the sum of its proper divisors (222414208).

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

168874112 is a wasteful number, since it uses less digits than its factorization.

168874112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 168874112 is about 12995.1572518381. The cubic root of 168874112 is about 552.7401678978.

The spelling of 168874112 in words is "one hundred sixty-eight million, eight hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 53 62 64 73 88 106 124 128 146 176 212 248 292 341 352 424 496 583 584 682 704 803 848 992 1166 1168 1364 1408 1606 1643 1696 1984 2263 2332 2336 2728 3212 3286 3392 3869 3968 4526 4664 4672 5456 6424 6572 6784 7738 9052 9328 9344 10912 12848 13144 15476 18073 18104 18656 21824 24893 25696 26288 30952 36146 36208 37312 42559 43648 49786 51392 52576 61904 72292 72416 74624 85118 99572 102784 105152 119939 123808 144584 144832 170236 199144 210304 239878 247616 289168 289664 340472 398288 479756 495232 578336 680944 796576 959512 1156672 1319329 1361888 1593152 1919024 2313344 2638658 2723776 3186304 3838048 5277316 5447552 7676096 10554632 15352192 21109264 42218528 84437056 168874112