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12149892 = 22331931191
BaseRepresentation
bin101110010110…
…010010000100
3211212021112000
4232112102010
511102244032
61112225300
7205162266
oct56262204
924767460
1012149892
116949437
12409b230
1326952b1
141883b36
1510eee7c
hexb96484

12149892 has 96 divisors (see below), whose sum is σ = 34406400. Its totient is φ = 3693600.

The previous prime is 12149881. The next prime is 12149933. The reversal of 12149892 is 29894121.

It is a super-2 number, since 2×121498922 = 295239751223328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63517 + ... + 63707.

It is an arithmetic number, because the mean of its divisors is an integer number (358400).

Almost surely, 212149892 is an apocalyptic number.

12149892 is a gapful number since it is divisible by the number (12) 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 12149892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203200).

12149892 is an abundant number, since it is smaller than the sum of its proper divisors (22256508).

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

12149892 is a wasteful number, since it uses less digits than its factorization.

12149892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 12149892 is about 3485.6695196189. The cubic root of 12149892 is about 229.8921485521.

It can be divided in two parts, 12149 and 892, that added together give a triangular number (13041 = T161).

The spelling of 12149892 in words is "twelve million, one hundred forty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 191 228 279 342 372 382 513 558 573 589 684 764 837 1026 1116 1146 1178 1674 1719 1767 2052 2292 2356 3348 3438 3534 3629 5157 5301 5921 6876 7068 7258 10314 10602 10887 11842 14516 15903 17763 20628 21204 21774 23684 31806 32661 35526 43548 53289 63612 65322 71052 97983 106578 112499 130644 159867 195966 213156 224998 319734 337497 391932 449996 639468 674994 1012491 1349988 2024982 3037473 4049964 6074946 12149892