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12616240 = 2457131733
BaseRepresentation
bin110000001000…
…001000110000
3212201222020011
4300020020300
511212204430
61130224304
7212144020
oct60101060
925658204
1012616240
11713784a
124285094
1327c9640
141965a80
15119322a
hexc08230

12616240 has 80 divisors (see below), whose sum is σ = 36122688. Its totient is φ = 3990528.

The previous prime is 12616237. The next prime is 12616271. The reversal of 12616240 is 4261621.

It is a tau number, because it is divible by the number of its divisors (80).

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, 6414 + ... + 8146.

Almost surely, 212616240 is an apocalyptic number.

12616240 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 12616240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061344).

12616240 is an abundant number, since it is smaller than the sum of its proper divisors (23506448).

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

12616240 is a wasteful number, since it uses less digits than its factorization.

12616240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12616240 is about 3551.9346840842. The cubic root of 12616240 is about 232.7966076115.

Adding to 12616240 its reverse (4261621), we get a palindrome (16877861).

The spelling of 12616240 in words is "twelve million, six hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1733 1820 3466 3640 6932 7280 8665 12131 13864 17330 22529 24262 27728 34660 45058 48524 60655 69320 90116 97048 112645 121310 138640 157703 180232 194096 225290 242620 315406 360464 450580 485240 630812 788515 901160 970480 1261624 1577030 1802320 2523248 3154060 6308120 12616240