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12293874 = 23219103349
BaseRepresentation
bin101110111001…
…011011110010
3212010121000200
4232321123302
511121400444
61115300030
7206332125
oct56713362
925117020
1012293874
116a3762a
12414a616
1327159a8
1418c03bc
15112c969
hexbb96f2

12293874 has 48 divisors (see below), whose sum is σ = 28392000. Its totient is φ = 3833568.

The previous prime is 12293851. The next prime is 12293881. The reversal of 12293874 is 47839221.

It is a super-2 number, since 2×122938742 = 302278675855752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35052 + ... + 35400.

It is an arithmetic number, because the mean of its divisors is an integer number (591500).

Almost surely, 212293874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12293874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196000).

12293874 is an abundant number, since it is smaller than the sum of its proper divisors (16098126).

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

12293874 is a wasteful number, since it uses less digits than its factorization.

12293874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 476 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12293874 is about 3506.2621122785. The cubic root of 12293874 is about 230.7966952441.

The spelling of 12293874 in words is "twelve million, two hundred ninety-three thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 309 342 349 618 698 927 1047 1854 1957 2094 3141 3914 5871 6282 6631 11742 13262 17613 19893 35226 35947 39786 59679 71894 107841 119358 215682 323523 647046 682993 1365986 2048979 4097958 6146937 12293874