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12411672 = 2337135683
BaseRepresentation
bin101111010110…
…001100011000
3212100120121120
4233112030120
511134133142
61122005240
7210332430
oct57261430
925316546
1012411672
117008089
1241a6820
1327574b0
1419112c0
1511527ec
hexbd6318

12411672 has 64 divisors (see below), whose sum is σ = 38196480. Its totient is φ = 3272832.

The previous prime is 12411667. The next prime is 12411689. The reversal of 12411672 is 27611421.

12411672 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

12411672 is strictly pandigital in base 8.

It is a congruent number.

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, 658 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (596820).

Almost surely, 212411672 is an apocalyptic number.

12411672 is a gapful number since it is divisible by the number (12) 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 12411672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19098240).

12411672 is an abundant number, since it is smaller than the sum of its proper divisors (25784808).

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

12411672 is a wasteful number, since it uses less digits than its factorization.

12411672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5708 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 12411672 is about 3523.0202951445. The cubic root of 12411672 is about 231.5315060205.

The spelling of 12411672 in words is "twelve million, four hundred eleven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 5683 11366 17049 22732 34098 39781 45464 68196 73879 79562 119343 136392 147758 159124 221637 238686 295516 318248 443274 477372 517153 591032 886548 954744 1034306 1551459 1773096 2068612 3102918 4137224 6205836 12411672