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12494640 = 243579659
BaseRepresentation
bin101111101010…
…011100110000
3212111210102110
4233222130300
511144312030
61123445320
7211126344
oct57523460
925453373
1012494640
117064454
124226840
1327861a2
141933624
15116c1b0
hexbea730

12494640 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 3284736.

The previous prime is 12494633. The next prime is 12494653. The reversal of 12494640 is 4649421.

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

It is a super-2 number, since 2×124946402 = 312232057459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12494598 and 12494607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18631 + ... + 19289.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 212494640 is an apocalyptic number.

12494640 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 12494640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

12494640 is an abundant number, since it is smaller than the sum of its proper divisors (26788560).

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

12494640 is a wasteful number, since it uses less digits than its factorization.

12494640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 12494640 is about 3534.7758061863. The cubic root of 12494640 is about 232.0462650499.

The spelling of 12494640 in words is "twelve million, four hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 659 790 948 1185 1264 1318 1580 1896 1977 2370 2636 3160 3295 3792 3954 4740 5272 6320 6590 7908 9480 9885 10544 13180 15816 18960 19770 26360 31632 39540 52061 52720 79080 104122 156183 158160 208244 260305 312366 416488 520610 624732 780915 832976 1041220 1249464 1561830 2082440 2498928 3123660 4164880 6247320 12494640