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10385088 = 26377727
BaseRepresentation
bin100111100111…
…011011000000
3201112121122220
4213213123000
510124310323
61010331040
7154162140
oct47473300
921477586
1010385088
11595351a
123589a80
1321c7c2c
141544920
15da20e3
hex9e76c0

10385088 has 56 divisors (see below), whose sum is σ = 31406592. Its totient is φ = 2966784.

The previous prime is 10385087. The next prime is 10385101. The reversal of 10385088 is 88058301.

10385088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (10385087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2520 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (560832).

Almost surely, 210385088 is an apocalyptic number.

It is an amenable number.

10385088 is an abundant number, since it is smaller than the sum of its proper divisors (21021504).

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

10385088 is an equidigital number, since it uses as much as digits as its factorization.

10385088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7749 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 10385088 is about 3222.5902625062. The cubic root of 10385088 is about 218.1742007442.

The spelling of 10385088 in words is "ten million, three hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 7727 15454 23181 30908 46362 54089 61816 92724 108178 123632 162267 185448 216356 247264 324534 370896 432712 494528 649068 741792 865424 1298136 1483584 1730848 2596272 3461696 5192544 10385088