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3640056 = 233747461
BaseRepresentation
bin1101111000101011111000
320211221012220
431320223320
51412440211
6210004040
742640260
oct15705370
96757186
103640056
112066912
121276620
139a5aa4
146aa7a0
154bd806
hex378af8

3640056 has 64 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1015680.

The previous prime is 3640037. The next prime is 3640061. The reversal of 3640056 is 6500463.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7666 + ... + 8126.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 23640056 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 3640056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3640056 is an abundant number, since it is smaller than the sum of its proper divisors (7004424).

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

3640056 is a wasteful number, since it uses less digits than its factorization.

3640056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3640056 is about 1907.8930787652. The cubic root of 3640056 is about 153.8282224742.

The spelling of 3640056 in words is "three million, six hundred forty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 461 564 658 922 987 1128 1316 1383 1844 1974 2632 2766 3227 3688 3948 5532 6454 7896 9681 11064 12908 19362 21667 25816 38724 43334 65001 77448 86668 130002 151669 173336 260004 303338 455007 520008 606676 910014 1213352 1820028 3640056