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12273720 = 2335234447
BaseRepresentation
bin101110110100…
…100000111000
3212002120101020
4232310200320
511120224340
61115022440
7206216304
oct56644070
925076336
1012273720
116a23478
12413aa20
132709774
1418b6d04
1511269d0
hexbb4838

12273720 has 64 divisors (see below), whose sum is σ = 38430720. Its totient is φ = 3129984.

The previous prime is 12273689. The next prime is 12273761. The reversal of 12273720 is 2737221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537 + ... + 4983.

It is an arithmetic number, because the mean of its divisors is an integer number (600480).

Almost surely, 212273720 is an apocalyptic number.

12273720 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 12273720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215360).

12273720 is an abundant number, since it is smaller than the sum of its proper divisors (26157000).

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

12273720 is a wasteful number, since it uses less digits than its factorization.

12273720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 12273720 is about 3503.3869326696. The cubic root of 12273720 is about 230.6705071736.

The spelling of 12273720 in words is "twelve million, two hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4447 8894 13341 17788 22235 26682 35576 44470 53364 66705 88940 102281 106728 133410 177880 204562 266820 306843 409124 511405 533640 613686 818248 1022810 1227372 1534215 2045620 2454744 3068430 4091240 6136860 12273720