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12256780 = 2253153373
BaseRepresentation
bin101110110000…
…011000001100
3212001201010211
4232300120030
511114204110
61114412204
7206116024
oct56603014
925051124
1012256780
116a11778
124131064
132701b43
1418b0a84
15112198a
hexbb060c

12256780 has 48 divisors (see below), whose sum is σ = 27143424. Its totient is φ = 4642560.

The previous prime is 12256759. The next prime is 12256787. The reversal of 12256780 is 8765221.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (12256787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32674 + ... + 33046.

It is an arithmetic number, because the mean of its divisors is an integer number (565488).

Almost surely, 212256780 is an apocalyptic number.

12256780 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 12256780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571712).

12256780 is an abundant number, since it is smaller than the sum of its proper divisors (14886644).

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

12256780 is a wasteful number, since it uses less digits than its factorization.

12256780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 12256780 is about 3500.9684374470. The cubic root of 12256780 is about 230.5643356817.

The spelling of 12256780 in words is "twelve million, two hundred fifty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 373 530 620 746 1060 1492 1643 1865 3286 3730 6572 7460 8215 11563 16430 19769 23126 32860 39538 46252 57815 79076 98845 115630 197690 231260 395380 612839 1225678 2451356 3064195 6128390 12256780