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12274010 = 257237677
BaseRepresentation
bin101110110100…
…100101011010
3212002120202222
4232310211122
511120232020
61115024042
7206220200
oct56644532
925076688
1012274010
116a23711
12413b022
132709938
1418b7070
151126b25
hexbb495a

12274010 has 48 divisors (see below), whose sum is σ = 26433864. Its totient is φ = 4088448.

The previous prime is 12273997. The next prime is 12274013. The reversal of 12274010 is 1047221.

It can be written as a sum of positive squares in 4 ways, for example, as 12103441 + 170569 = 3479^2 + 413^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12274010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17792 + ... + 18468.

Almost surely, 212274010 is an apocalyptic number.

12274010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12274010 is an abundant number, since it is smaller than the sum of its proper divisors (14159854).

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

12274010 is a wasteful number, since it uses less digits than its factorization.

12274010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 12274010 is about 3503.4283209451. The cubic root of 12274010 is about 230.6723238985.

The spelling of 12274010 in words is "twelve million, two hundred seventy-four thousand, ten".

Divisors: 1 2 5 7 10 14 35 37 49 70 74 98 185 245 259 370 490 518 677 1295 1354 1813 2590 3385 3626 4739 6770 9065 9478 18130 23695 25049 33173 47390 50098 66346 125245 165865 175343 250490 331730 350686 876715 1227401 1753430 2454802 6137005 12274010