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13419032 = 2311314919
BaseRepresentation
bin110011001100…
…001000011000
3221020202110012
4303030020120
511413402112
61155341052
7222026354
oct63141030
927222405
1013419032
117635a10
1245b1788
132a1ab73
141ad4464
1512a1022
hexccc218

13419032 has 32 divisors (see below), whose sum is σ = 28339200. Its totient is φ = 5901600.

The previous prime is 13418989. The next prime is 13419037. The reversal of 13419032 is 23091431.

It is a junction number, because it is equal to n+sod(n) for n = 13418989 and 13419007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13419037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (885600).

Almost surely, 213419032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13419032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169600).

13419032 is an abundant number, since it is smaller than the sum of its proper divisors (14920168).

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

13419032 is a wasteful number, since it uses less digits than its factorization.

13419032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 13419032 is about 3663.1996942564. The cubic root of 13419032 is about 237.6331707441.

The spelling of 13419032 in words is "thirteen million, four hundred nineteen thousand, thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 4919 9838 19676 39352 54109 108218 152489 216436 304978 432872 609956 1219912 1677379 3354758 6709516 13419032