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12478440 = 23351319421
BaseRepresentation
bin101111100110…
…011111101000
3212110222012110
4233212133220
511143302230
61123242320
7211031202
oct57463750
925428173
1012478440
117053267
1242193a0
13277b9c0
14192b772
1511674b0
hexbe67e8

12478440 has 128 divisors (see below), whose sum is σ = 42537600. Its totient is φ = 2903040.

The previous prime is 12478409. The next prime is 12478451. The reversal of 12478440 is 4487421.

It is a super-2 number, since 2×124784402 = 311422929667200, 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 = 12478398 and 12478407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29430 + ... + 29850.

It is an arithmetic number, because the mean of its divisors is an integer number (332325).

Almost surely, 212478440 is an apocalyptic number.

12478440 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 12478440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268800).

12478440 is an abundant number, since it is smaller than the sum of its proper divisors (30059160).

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

12478440 is a wasteful number, since it uses less digits than its factorization.

12478440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 12478440 is about 3532.4835456092. The cubic root of 12478440 is about 231.9459346866.

The spelling of 12478440 in words is "twelve million, four hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 421 456 494 520 570 741 760 780 842 988 1140 1235 1263 1482 1560 1684 1976 2105 2280 2470 2526 2964 3368 3705 4210 4940 5052 5473 5928 6315 7410 7999 8420 9880 10104 10946 12630 14820 15998 16419 16840 21892 23997 25260 27365 29640 31996 32838 39995 43784 47994 50520 54730 63992 65676 79990 82095 95988 103987 109460 119985 131352 159980 164190 191976 207974 218920 239970 311961 319960 328380 415948 479940 519935 623922 656760 831896 959880 1039870 1247844 1559805 2079740 2495688 3119610 4159480 6239220 12478440