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2960064 = 2634571
BaseRepresentation
bin1011010010101011000000
312120101110000
423102223000
51224210224
6143240000
734105632
oct13225300
95511400
102960064
111741a38
12ba9000
137c8423
14570a52
153d70c9
hex2d2ac0

2960064 has 70 divisors (see below), whose sum is σ = 8789924. Its totient is φ = 984960.

The previous prime is 2960047. The next prime is 2960071. The reversal of 2960064 is 4600692.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4899 + ... + 5469.

22960064 is an apocalyptic number.

2960064 is a gapful number since it is divisible by the number (24) 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 2960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394962).

2960064 is an abundant number, since it is smaller than the sum of its proper divisors (5829860).

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

2960064 is an equidigital number, since it uses as much as digits as its factorization.

2960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2960064 is about 1720.4836529302. The cubic root of 2960064 is about 143.5821218526.

The spelling of 2960064 in words is "two million, nine hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 571 576 648 864 1142 1296 1713 1728 2284 2592 3426 4568 5139 5184 6852 9136 10278 13704 15417 18272 20556 27408 30834 36544 41112 46251 54816 61668 82224 92502 109632 123336 164448 185004 246672 328896 370008 493344 740016 986688 1480032 2960064