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169054272 = 26321272311
BaseRepresentation
bin10100001001110…
…01000001000000
3102210002211212100
422010321001000
5321234214042
624435230400
74121636412
oct1204710100
9383084770
10169054272
1187476a82
1248748400
1329040a1a
14186489b2
15ec9524c
hexa139040

169054272 has 84 divisors (see below), whose sum is σ = 488590336. Its totient is φ = 55883520.

The previous prime is 169054271. The next prime is 169054279. The reversal of 169054272 is 272450961.

169054272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (169054271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71997 + ... + 74307.

Almost surely, 2169054272 is an apocalyptic number.

169054272 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 169054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244295168).

169054272 is an abundant number, since it is smaller than the sum of its proper divisors (319536064).

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

169054272 is a wasteful number, since it uses less digits than its factorization.

169054272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 169054272 is about 13002.0872170587. The cubic root of 169054272 is about 552.9366580055.

The spelling of 169054272 in words is "one hundred sixty-nine million, fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 2311 3048 4064 4572 4622 6096 6933 8128 9144 9244 12192 13866 18288 18488 20799 24384 27732 36576 36976 41598 55464 73152 73952 83196 110928 147904 166392 221856 293497 332784 443712 586994 665568 880491 1173988 1331136 1760982 2347976 2641473 3521964 4695952 5282946 7043928 9391904 10565892 14087856 18783808 21131784 28175712 42263568 56351424 84527136 169054272