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13072152 = 23319109263
BaseRepresentation
bin110001110111…
…011100011000
3220121010121210
4301313130120
511321302102
61144103120
7216053142
oct61673430
926533553
1013072152
117419335
124464aa0
132929002
141a43c92
15123336c
hexc77718

13072152 has 64 divisors (see below), whose sum is σ = 34848000. Its totient is φ = 4074624.

The previous prime is 13072109. The next prime is 13072159. The reversal of 13072152 is 25127031.

It is a super-2 number, since 2×130721522 = 341762315822208, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13072159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49573 + ... + 49835.

It is an arithmetic number, because the mean of its divisors is an integer number (544500).

Almost surely, 213072152 is an apocalyptic number.

13072152 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 13072152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424000).

13072152 is an abundant number, since it is smaller than the sum of its proper divisors (21775848).

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

13072152 is a wasteful number, since it uses less digits than its factorization.

13072152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 13072152 is about 3615.5431127287. The cubic root of 13072152 is about 235.5676754309.

Adding to 13072152 its reverse (25127031), we get a palindrome (38199183).

The spelling of 13072152 in words is "thirteen million, seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 109 114 152 218 228 263 327 436 456 526 654 789 872 1052 1308 1578 2071 2104 2616 3156 4142 4997 6213 6312 8284 9994 12426 14991 16568 19988 24852 28667 29982 39976 49704 57334 59964 86001 114668 119928 172002 229336 344004 544673 688008 1089346 1634019 2178692 3268038 4357384 6536076 13072152