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168901272 = 233213717123
BaseRepresentation
bin10100001000100…
…11101010011000
3102202211001222200
422010103222120
5321214320042
624432050200
74120431351
oct1204235230
9382731880
10168901272
1187382031
1248693960
1328cb91a7
1418608d28
15ec64c4c
hexa113a98

168901272 has 48 divisors (see below), whose sum is σ = 460806840. Its totient is φ = 55886208.

The previous prime is 168901267. The next prime is 168901283. The reversal of 168901272 is 272109861.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1303 + ... + 18425.

Almost surely, 2168901272 is an apocalyptic number.

168901272 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 168901272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230403420).

168901272 is an abundant number, since it is smaller than the sum of its proper divisors (291905568).

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

168901272 is a wasteful number, since it uses less digits than its factorization.

168901272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272 (or 17265 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 168901272 is about 12996.2022144933. The cubic root of 168901272 is about 552.7697986841.

The spelling of 168901272 in words is "one hundred sixty-eight million, nine hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 17123 34246 51369 68492 102738 136984 154107 205476 308214 410952 616428 1232856 2345851 4691702 7037553 9383404 14075106 18766808 21112659 28150212 42225318 56300424 84450636 168901272