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13399920 = 2432537503
BaseRepresentation
bin110011000111…
…011101110000
3221012210020100
4303013131300
511412244140
61155112400
7221616552
oct63073560
927183210
1013399920
117622616
1245a2700
132a12261
141acb4d2
15129a530
hexcc7770

13399920 has 120 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 3469824.

The previous prime is 13399889. The next prime is 13399949. The reversal of 13399920 is 2999331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

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 23 ways as a sum of consecutive naturals, for example, 26389 + ... + 26891.

Almost surely, 213399920 is an apocalyptic number.

13399920 is a gapful number since it is divisible by the number (10) 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 13399920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

13399920 is an abundant number, since it is smaller than the sum of its proper divisors (32909616).

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

13399920 is a wasteful number, since it uses less digits than its factorization.

13399920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 13399920 is about 3660.5901163610. The cubic root of 13399920 is about 237.5203011271.

The spelling of 13399920 in words is "thirteen million, three hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 503 555 592 666 720 740 888 1006 1110 1332 1480 1509 1665 1776 2012 2220 2515 2664 2960 3018 3330 4024 4440 4527 5030 5328 6036 6660 7545 8048 8880 9054 10060 12072 13320 15090 18108 18611 20120 22635 24144 26640 30180 36216 37222 40240 45270 55833 60360 72432 74444 90540 93055 111666 120720 148888 167499 181080 186110 223332 279165 297776 334998 362160 372220 446664 558330 669996 744440 837495 893328 1116660 1339992 1488880 1674990 2233320 2679984 3349980 4466640 6699960 13399920