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13355172 = 2233313989
BaseRepresentation
bin110010111100…
…100010100100
3221010111212000
4302330202210
511404331142
61154125300
7221342235
oct62744244
927114760
1013355172
1175a1a36
124580830
1329c7a8c
141ab908c
15128c14c
hexcbc8a4

13355172 has 48 divisors (see below), whose sum is σ = 35750400. Its totient is φ = 4307040.

The previous prime is 13355161. The next prime is 13355197. The reversal of 13355172 is 27155331.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1354 + ... + 5342.

It is an arithmetic number, because the mean of its divisors is an integer number (744800).

Almost surely, 213355172 is an apocalyptic number.

13355172 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 13355172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875200).

13355172 is an abundant number, since it is smaller than the sum of its proper divisors (22395228).

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

13355172 is a wasteful number, since it uses less digits than its factorization.

13355172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4025 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 13355172 is about 3654.4728758058. The cubic root of 13355172 is about 237.2556126932.

The spelling of 13355172 in words is "thirteen million, three hundred fifty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 3989 7978 11967 15956 23934 35901 47868 71802 107703 123659 143604 215406 247318 370977 430812 494636 741954 1112931 1483908 2225862 3338793 4451724 6677586 13355172