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12687480 = 23325132711
BaseRepresentation
bin110000011001…
…100001111000
3212212120221200
4300121201320
511221444410
61131534200
7212561511
oct60314170
925776850
1012687480
117186323
1242ba360
132822bb0
141983a08
1511a93c0
hexc19878

12687480 has 96 divisors (see below), whose sum is σ = 44422560. Its totient is φ = 3121920.

The previous prime is 12687469. The next prime is 12687523. The reversal of 12687480 is 8478621.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3325 + ... + 6035.

It is an arithmetic number, because the mean of its divisors is an integer number (462735).

Almost surely, 212687480 is an apocalyptic number.

12687480 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 12687480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22211280).

12687480 is an abundant number, since it is smaller than the sum of its proper divisors (31735080).

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

12687480 is a wasteful number, since it uses less digits than its factorization.

12687480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12687480 is about 3561.9489047430. The cubic root of 12687480 is about 233.2339622214.

The spelling of 12687480 in words is "twelve million, six hundred eighty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 2711 4680 5422 8133 10844 13555 16266 21688 24399 27110 32532 35243 40665 48798 54220 65064 70486 81330 97596 105729 108440 121995 140972 162660 176215 195192 211458 243990 281944 317187 325320 352430 422916 487980 528645 634374 704860 845832 975960 1057290 1268748 1409720 1585935 2114580 2537496 3171870 4229160 6343740 12687480