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13520640 = 28357503
BaseRepresentation
bin110011100100…
…111100000000
3221102220211110
4303210330000
511430130030
61201443320
7222631530
oct63447400
927386743
1013520640
1176a5291
124640540
132a551a3
141b1d4c0
1512c11b0
hexce4f00

13520640 has 144 divisors (see below), whose sum is σ = 49448448. Its totient is φ = 3084288.

The previous prime is 13520603. The next prime is 13520653. The reversal of 13520640 is 4602531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26629 + ... + 27131.

It is an arithmetic number, because the mean of its divisors is an integer number (343392).

Almost surely, 213520640 is an apocalyptic number.

13520640 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 13520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724224).

13520640 is an abundant number, since it is smaller than the sum of its proper divisors (35927808).

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

13520640 is an equidigital number, since it uses as much as digits as its factorization.

13520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13520640 is about 3677.0422896671. The cubic root of 13520640 is about 238.2314439967.

The spelling of 13520640 in words is "thirteen million, five hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 503 560 640 672 768 840 896 960 1006 1120 1280 1344 1509 1680 1792 1920 2012 2240 2515 2688 3018 3360 3521 3840 4024 4480 5030 5376 6036 6720 7042 7545 8048 8960 10060 10563 12072 13440 14084 15090 16096 17605 20120 21126 24144 26880 28168 30180 32192 35210 40240 42252 48288 52815 56336 60360 64384 70420 80480 84504 96576 105630 112672 120720 128768 140840 160960 169008 193152 211260 225344 241440 281680 321920 338016 386304 422520 450688 482880 563360 643840 676032 845040 901376 965760 1126720 1352064 1690080 1931520 2253440 2704128 3380160 4506880 6760320 13520640