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13120470 = 23251129457
BaseRepresentation
bin110010000011…
…001111010110
3220200120220100
4302003033112
511324323340
61145114530
7216344046
oct62031726
926616810
1013120470
117451670
124488a46
132944cbc
141a57726
151242830
hexc833d6

13120470 has 96 divisors (see below), whose sum is σ = 38581920. Its totient is φ = 3064320.

The previous prime is 13120427. The next prime is 13120483. The reversal of 13120470 is 7402131.

13120470 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28482 + ... + 28938.

It is an arithmetic number, because the mean of its divisors is an integer number (401895).

Almost surely, 213120470 is an apocalyptic number.

13120470 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 13120470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290960).

13120470 is an abundant number, since it is smaller than the sum of its proper divisors (25461450).

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

13120470 is a wasteful number, since it uses less digits than its factorization.

13120470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 13120470 is about 3622.2189331955. The cubic root of 13120470 is about 235.8575579201.

The spelling of 13120470 in words is "thirteen million, one hundred twenty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 457 495 522 638 870 914 957 990 1305 1371 1595 1914 2285 2610 2742 2871 3190 4113 4570 4785 5027 5742 6855 8226 9570 10054 13253 13710 14355 15081 20565 25135 26506 28710 30162 39759 41130 45243 50270 66265 75405 79518 90486 119277 132530 145783 150810 198795 226215 238554 291566 397590 437349 452430 596385 728915 874698 1192770 1312047 1457830 2186745 2624094 4373490 6560235 13120470