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12169960 = 23511171627
BaseRepresentation
bin101110011011…
…001011101000
3211220022001021
4232123023220
511103414320
61112502224
7205304635
oct56331350
924808037
1012169960
116962520
1240aa974
1326a147a
14188b18c
151105daa
hexb9b2e8

12169960 has 64 divisors (see below), whose sum is σ = 31648320. Its totient is φ = 4162560.

The previous prime is 12169957. The next prime is 12169973. The reversal of 12169960 is 6996121.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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, 6667 + ... + 8293.

It is an arithmetic number, because the mean of its divisors is an integer number (494505).

Almost surely, 212169960 is an apocalyptic number.

12169960 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 12169960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824160).

12169960 is an abundant number, since it is smaller than the sum of its proper divisors (19478360).

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

12169960 is a wasteful number, since it uses less digits than its factorization.

12169960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 12169960 is about 3488.5469754613. The cubic root of 12169960 is about 230.0186500315.

The spelling of 12169960 in words is "twelve million, one hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1627 1870 3254 3740 6508 7480 8135 13016 16270 17897 27659 32540 35794 55318 65080 71588 89485 110636 138295 143176 178970 221272 276590 304249 357940 553180 608498 715880 1106360 1216996 1521245 2433992 3042490 6084980 12169960