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12327960 = 2335195407
BaseRepresentation
bin101111000001…
…110000011000
3212012022210010
4233001300120
511123443320
61120121520
7206533401
oct57016030
925168703
1012327960
116a601a7
1241662a0
132728368
1418cc9a8
151137ae0
hexbc1c18

12327960 has 64 divisors (see below), whose sum is σ = 38937600. Its totient is φ = 3113856.

The previous prime is 12327949. The next prime is 12328007. The reversal of 12327960 is 6972321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424 + ... + 4983.

It is an arithmetic number, because the mean of its divisors is an integer number (608400).

Almost surely, 212327960 is an apocalyptic number.

12327960 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 12327960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468800).

12327960 is an abundant number, since it is smaller than the sum of its proper divisors (26609640).

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

12327960 is a wasteful number, since it uses less digits than its factorization.

12327960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 12327960 is about 3511.1194795962. The cubic root of 12327960 is about 231.0098007498.

The spelling of 12327960 in words is "twelve million, three hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 5407 10814 16221 21628 27035 32442 43256 54070 64884 81105 102733 108140 129768 162210 205466 216280 308199 324420 410932 513665 616398 648840 821864 1027330 1232796 1540995 2054660 2465592 3081990 4109320 6163980 12327960