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12150960 = 2435197257
BaseRepresentation
bin101110010110…
…100010110000
3211212022222120
4232112202300
511102312320
61112234240
7205165353
oct56264260
924768876
1012150960
11694a218
12409b980
132695923
14188429a
151100440
hexb968b0

12150960 has 80 divisors (see below), whose sum is σ = 38006496. Its totient is φ = 3211264.

The previous prime is 12150953. The next prime is 12150961. The reversal of 12150960 is 6905121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12150960.

It is not an unprimeable number, because it can be changed into a prime (12150961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47152 + ... + 47408.

Almost surely, 212150960 is an apocalyptic number.

12150960 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 12150960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19003248).

12150960 is an abundant number, since it is smaller than the sum of its proper divisors (25855536).

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

12150960 is a wasteful number, since it uses less digits than its factorization.

12150960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 12150960 is about 3485.8227149412. The cubic root of 12150960 is about 229.8988843492.

The spelling of 12150960 in words is "twelve million, one hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 257 394 514 591 771 788 985 1028 1182 1285 1542 1576 1970 2056 2364 2570 2955 3084 3152 3855 3940 4112 4728 5140 5910 6168 7710 7880 9456 10280 11820 12336 15420 15760 20560 23640 30840 47280 50629 61680 101258 151887 202516 253145 303774 405032 506290 607548 759435 810064 1012580 1215096 1518870 2025160 2430192 3037740 4050320 6075480 12150960