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12294880 = 2551323257
BaseRepresentation
bin101110111001…
…101011100000
3212010122101221
4232321223200
511121414010
61115304424
7206335063
oct56715340
925118357
1012294880
116a38364
12414b114
1327162a0
1418c08da
15112cdda
hexbb9ae0

12294880 has 96 divisors (see below), whose sum is σ = 32768064. Its totient is φ = 4325376.

The previous prime is 12294853. The next prime is 12294883. The reversal of 12294880 is 8849221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12294883) 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, 47712 + ... + 47968.

It is an arithmetic number, because the mean of its divisors is an integer number (341334).

Almost surely, 212294880 is an apocalyptic number.

12294880 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 12294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384032).

12294880 is an abundant number, since it is smaller than the sum of its proper divisors (20473184).

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

12294880 is a wasteful number, since it uses less digits than its factorization.

12294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 12294880 is about 3506.4055669588. The cubic root of 12294880 is about 230.8029903886.

The spelling of 12294880 in words is "twelve million, two hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 257 260 299 368 416 460 514 520 598 736 920 1028 1040 1196 1285 1495 1840 2056 2080 2392 2570 2990 3341 3680 4112 4784 5140 5911 5980 6682 8224 9568 10280 11822 11960 13364 16705 20560 23644 23920 26728 29555 33410 41120 47288 47840 53456 59110 66820 76843 94576 106912 118220 133640 153686 189152 236440 267280 307372 384215 472880 534560 614744 768430 945760 1229488 1536860 2458976 3073720 6147440 12294880