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13000470 = 2357311997
BaseRepresentation
bin110001100101…
…111100010110
3220110111021220
4301211330112
511312003340
61142351210
7215334150
oct61457426
926414256
1013000470
11737a49a
12442b506
1329024b2
141a25ad0
15121bed0
hexc65f16

13000470 has 64 divisors (see below), whose sum is σ = 36827136. Its totient is φ = 2874240.

The previous prime is 13000469. The next prime is 13000483. The reversal of 13000470 is 7400031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5512 + ... + 7508.

It is an arithmetic number, because the mean of its divisors is an integer number (575424).

Almost surely, 213000470 is an apocalyptic number.

13000470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413568).

13000470 is an abundant number, since it is smaller than the sum of its proper divisors (23826666).

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

13000470 is a wasteful number, since it uses less digits than its factorization.

13000470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 13000470 is about 3605.6164521480. The cubic root of 13000470 is about 235.1363023977.

The spelling of 13000470 in words is "thirteen million, four hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 1997 2170 3255 3994 5991 6510 9985 11982 13979 19970 27958 29955 41937 59910 61907 69895 83874 123814 139790 185721 209685 309535 371442 419370 433349 619070 866698 928605 1300047 1857210 2166745 2600094 4333490 6500235 13000470