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12387984 = 2437223229
BaseRepresentation
bin101111010000…
…011010010000
3212022101010020
4233100122100
511132403414
61121303440
7210203400
oct57203220
925271106
1012387984
116aa1304
124194b80
13274978b
141906800
15114a7a9
hexbd0690

12387984 has 120 divisors (see below), whose sum is σ = 39015360. Its totient is φ = 3370752.

The previous prime is 12387979. The next prime is 12388031. The reversal of 12387984 is 48978321.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 53982 + ... + 54210.

It is an arithmetic number, because the mean of its divisors is an integer number (325128).

Almost surely, 212387984 is an apocalyptic number.

12387984 is a gapful number since it is divisible by the number (14) 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 12387984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507680).

12387984 is an abundant number, since it is smaller than the sum of its proper divisors (26627376).

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

12387984 is a wasteful number, since it uses less digits than its factorization.

12387984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 12387984 is about 3519.6568014510. The cubic root of 12387984 is about 231.3841175748.

The spelling of 12387984 in words is "twelve million, three hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 229 276 294 322 336 368 392 458 483 552 588 644 687 784 916 966 1104 1127 1176 1288 1374 1603 1832 1932 2254 2352 2576 2748 3206 3381 3664 3864 4508 4809 5267 5496 6412 6762 7728 9016 9618 10534 10992 11221 12824 13524 15801 18032 19236 21068 22442 25648 27048 31602 33663 36869 38472 42136 44884 54096 63204 67326 73738 76944 84272 89768 110607 126408 134652 147476 179536 221214 252816 258083 269304 294952 442428 516166 538608 589904 774249 884856 1032332 1548498 1769712 2064664 3096996 4129328 6193992 12387984