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168520192 = 29472149
BaseRepresentation
bin10100000101101…
…10101000000000
3102202002201020121
422002312220000
5321120121232
624415550024
74114253341
oct1202665000
9382081217
10168520192
1187141795
124852b314
1328bb48b9
141854a0c8
15ebdbd97
hexa0b6a00

168520192 has 60 divisors (see below), whose sum is σ = 346336650. Its totient is φ = 81913856.

The previous prime is 168520181. The next prime is 168520211. The reversal of 168520192 is 291025861.

It can be written as a sum of positive squares in only one way, i.e., 163430656 + 5089536 = 12784^2 + 2256^2 .

It is a super-2 number, since 2×1685201922 = 56798110223433728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1130934 + ... + 1131082.

Almost surely, 2168520192 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 168520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173168325).

168520192 is an abundant number, since it is smaller than the sum of its proper divisors (177816458).

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

168520192 is an frugal number, since it uses more digits than its factorization.

168520192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 168520192 is about 12981.5327292273. The cubic root of 168520192 is about 552.3537604945.

The spelling of 168520192 in words is "one hundred sixty-eight million, five hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 149 188 256 298 376 512 596 752 1192 1504 2209 2384 3008 4418 4768 6016 7003 8836 9536 12032 14006 17672 19072 24064 28012 35344 38144 56024 70688 76288 112048 141376 224096 282752 329141 448192 565504 658282 896384 1131008 1316564 1792768 2633128 3585536 5266256 10532512 21065024 42130048 84260096 168520192