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13095680 = 28513787
BaseRepresentation
bin110001111101…
…001100000000
3220122022220012
4301331030000
511323030210
61144404052
7216211553
oct61751400
926568805
1013095680
117434a84
124476628
132936930
141a4c69a
15123a305
hexc7d300

13095680 has 72 divisors (see below), whose sum is σ = 33824112. Its totient is φ = 4829184.

The previous prime is 13095673. The next prime is 13095697. The reversal of 13095680 is 8659031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16247 + ... + 17033.

Almost surely, 213095680 is an apocalyptic number.

13095680 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 13095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912056).

13095680 is an abundant number, since it is smaller than the sum of its proper divisors (20728432).

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

13095680 is an equidigital number, since it uses as much as digits as its factorization.

13095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 13095680 is about 3618.7953796809. The cubic root of 13095680 is about 235.7089200755.

The spelling of 13095680 in words is "thirteen million, ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 787 832 1040 1280 1574 1664 2080 3148 3328 3935 4160 6296 7870 8320 10231 12592 15740 16640 20462 25184 31480 40924 50368 51155 62960 81848 100736 102310 125920 163696 201472 204620 251840 327392 409240 503680 654784 818480 1007360 1309568 1636960 2619136 3273920 6547840 13095680