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2640032 = 251723211
BaseRepresentation
bin1010000100100010100000
311222010102222
422010202200
51133440112
6132330212
731303613
oct12044240
94863388
102640032
11154354a
12a73968
13715865
144ca17a
15372372
hex2848a0

2640032 has 48 divisors (see below), whose sum is σ = 5769792. Its totient is φ = 1182720.

The previous prime is 2640023. The next prime is 2640041. The reversal of 2640032 is 2300462.

It is an interprime number because it is at equal distance from previous prime (2640023) and next prime (2640041).

It is a super-2 number, since 2×26400322 = 13939537922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12407 + ... + 12617.

It is an arithmetic number, because the mean of its divisors is an integer number (120204).

22640032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884896).

2640032 is an abundant number, since it is smaller than the sum of its proper divisors (3129760).

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

2640032 is a wasteful number, since it uses less digits than its factorization.

2640032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2640032 is about 1624.8175282166. The cubic root of 2640032 is about 138.2090230160.

Adding to 2640032 its reverse (2300462), we get a palindrome (4940494).

The spelling of 2640032 in words is "two million, six hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 211 272 368 391 422 544 736 782 844 1564 1688 3128 3376 3587 4853 6256 6752 7174 9706 12512 14348 19412 28696 38824 57392 77648 82501 114784 155296 165002 330004 660008 1320016 2640032