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12295840 = 255313767
BaseRepresentation
bin101110111001…
…111010100000
3212010200201111
4232321322200
511121431330
61115313104
7206340634
oct56717240
925120644
1012295840
116a39057
12414b794
13271685b
1418c0dc4
15112d32a
hexbb9ea0

12295840 has 96 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 4561920.

The previous prime is 12295819. The next prime is 12295847. The reversal of 12295840 is 4859221.

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 (12295847) 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 15 ways as a sum of consecutive naturals, for example, 183487 + ... + 183553.

It is an arithmetic number, because the mean of its divisors is an integer number (325584).

Almost surely, 212295840 is an apocalyptic number.

12295840 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 12295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

12295840 is an abundant number, since it is smaller than the sum of its proper divisors (18960224).

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

12295840 is a wasteful number, since it uses less digits than its factorization.

12295840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 12295840 is about 3506.5424566088. The cubic root of 12295840 is about 230.8089973635.

The spelling of 12295840 in words is "twelve million, two hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 67 74 80 124 134 148 155 160 185 248 268 296 310 335 370 496 536 592 620 670 740 992 1072 1147 1184 1240 1340 1480 2077 2144 2294 2479 2480 2680 2960 4154 4588 4958 4960 5360 5735 5920 8308 9176 9916 10385 10720 11470 12395 16616 18352 19832 20770 22940 24790 33232 36704 39664 41540 45880 49580 66464 76849 79328 83080 91760 99160 153698 166160 183520 198320 307396 332320 384245 396640 614792 768490 1229584 1536980 2459168 3073960 6147920 12295840