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2312960 = 28513139
BaseRepresentation
bin1000110100101100000000
311100111210012
420310230000
51043003320
6121324052
725442216
oct10645400
94314705
102312960
11133a841
12936628
1362ca20
14442cb6
1530a4c5
hex234b00

2312960 has 72 divisors (see below), whose sum is σ = 6009360. Its totient is φ = 847872.

The previous prime is 2312951. The next prime is 2312963. The reversal of 2312960 is 692132.

It is not an unprimeable number, because it can be changed into a prime (2312963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16571 + ... + 16709.

22312960 is an apocalyptic number.

2312960 is a gapful number since it is divisible by the number (20) 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 2312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004680).

2312960 is an abundant number, since it is smaller than the sum of its proper divisors (3696400).

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

2312960 is a wasteful number, since it uses less digits than its factorization.

2312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2312960 is about 1520.8418721221. The cubic root of 2312960 is about 132.2480795363.

The spelling of 2312960 in words is "two million, three hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 139 160 208 256 260 278 320 416 520 556 640 695 832 1040 1112 1280 1390 1664 1807 2080 2224 2780 3328 3614 4160 4448 5560 7228 8320 8896 9035 11120 14456 16640 17792 18070 22240 28912 35584 36140 44480 57824 72280 88960 115648 144560 177920 231296 289120 462592 578240 1156480 2312960