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168013392 = 24353211313
BaseRepresentation
bin10100000001110…
…10111001010000
3102201010222001020
422000322321100
5321002412032
624401035440
74110042651
oct1200727120
9381128036
10168013392
1186925a48
1248325b80
1328a68011
1418457528
15eb3bb2c
hexa03ae50

168013392 has 80 divisors (see below), whose sum is σ = 445739328. Its totient is φ = 54512640.

The previous prime is 168013381. The next prime is 168013403. The reversal of 168013392 is 293310861.

It is an interprime number because it is at equal distance from previous prime (168013381) and next prime (168013403).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536628 + ... + 536940.

Almost surely, 2168013392 is an apocalyptic number.

168013392 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 168013392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222869664).

168013392 is an abundant number, since it is smaller than the sum of its proper divisors (277725936).

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

168013392 is a wasteful number, since it uses less digits than its factorization.

168013392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 168013392 is about 12961.9979941366. The cubic root of 168013392 is about 551.7994965980.

The spelling of 168013392 in words is "one hundred sixty-eight million, thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 211 212 313 318 422 424 626 633 636 844 848 939 1252 1266 1272 1688 1878 2504 2532 2544 3376 3756 5008 5064 7512 10128 11183 15024 16589 22366 33178 33549 44732 49767 66043 66356 67098 89464 99534 132086 132712 134196 178928 198129 199068 264172 265424 268392 396258 398136 528344 536784 792516 796272 1056688 1585032 3170064 3500279 7000558 10500837 14001116 21001674 28002232 42003348 56004464 84006696 168013392