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12266240 = 2857372
BaseRepresentation
bin101110110010…
…101100000000
3212002012010012
4232302230000
511120004430
61114524052
7206155430
oct56625400
925065105
1012266240
116a18898
124136628
13270623c
1418b42c0
151124695
hexbb2b00

12266240 has 108 divisors (see below), whose sum is σ = 34510896. Its totient is φ = 4091904.

The previous prime is 12266237. The next prime is 12266249. The reversal of 12266240 is 4266221.

It is not an unprimeable number, because it can be changed into a prime (12266249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331502 + ... + 331538.

Almost surely, 212266240 is an apocalyptic number.

12266240 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 12266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17255448).

12266240 is an abundant number, since it is smaller than the sum of its proper divisors (22244656).

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

12266240 is an frugal number, since it uses more digits than its factorization.

12266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 12266240 is about 3502.3192315950. The cubic root of 12266240 is about 230.6236383074.

The spelling of 12266240 in words is "twelve million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 256 259 280 296 320 370 448 518 560 592 640 740 896 1036 1120 1184 1280 1295 1369 1480 1792 2072 2240 2368 2590 2738 2960 4144 4480 4736 5180 5476 5920 6845 8288 8960 9472 9583 10360 10952 11840 13690 16576 19166 20720 21904 23680 27380 33152 38332 41440 43808 47360 47915 54760 66304 76664 82880 87616 95830 109520 153328 165760 175232 191660 219040 306656 331520 350464 383320 438080 613312 766640 876160 1226624 1533280 1752320 2453248 3066560 6133120 12266240