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168924672 = 293275237
BaseRepresentation
bin10100001000110…
…01011000000000
3102202212021002100
422010121120000
5321221042142
624432350400
74120556520
oct1204313000
9382767070
10168924672
1187398674
12486a5400
1328cc6a37
1418613680
15ec6bb4c
hexa119600

168924672 has 120 divisors (see below), whose sum is σ = 557281296. Its totient is φ = 48254976.

The previous prime is 168924667. The next prime is 168924689. The reversal of 168924672 is 276429861.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 29638 + ... + 34874.

Almost surely, 2168924672 is an apocalyptic number.

168924672 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 168924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278640648).

168924672 is an abundant number, since it is smaller than the sum of its proper divisors (388356624).

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

168924672 is an equidigital number, since it uses as much as digits as its factorization.

168924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5249 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 168924672 is about 12997.1024463147. The cubic root of 168924672 is about 552.7953248704.

The spelling of 168924672 in words is "one hundred sixty-eight million, nine hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5237 5376 8064 10474 10752 15711 16128 20948 31422 32256 36659 41896 47133 62844 73318 83792 94266 109977 125688 146636 167584 188532 219954 251376 293272 329931 335168 377064 439908 502752 586544 659862 670336 754128 879816 1005504 1173088 1319724 1340672 1508256 1759632 2011008 2346176 2639448 2681344 3016512 3519264 4022016 4692352 5278896 6033024 7038528 8044032 9384704 10557792 12066048 14077056 18769408 21115584 24132096 28154112 42231168 56308224 84462336 168924672