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10385604 = 22332337113
BaseRepresentation
bin100111100111…
…100011000100
3201112122101000
4213213203010
510124314404
61010333300
7154163505
oct47474304
921478330
1010385604
115953949
12358a230
1321c8238
141544bac
15da2339
hex9e78c4

10385604 has 96 divisors (see below), whose sum is σ = 29111040. Its totient is φ = 3193344.

The previous prime is 10385597. The next prime is 10385621. The reversal of 10385604 is 40658301.

10385604 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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91852 + ... + 91964.

It is an arithmetic number, because the mean of its divisors is an integer number (303240).

Almost surely, 210385604 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 10385604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555520).

10385604 is an abundant number, since it is smaller than the sum of its proper divisors (18725436).

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

10385604 is a wasteful number, since it uses less digits than its factorization.

10385604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10385604 is about 3222.6703213329. The cubic root of 10385604 is about 218.1778141311.

The spelling of 10385604 in words is "ten million, three hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 37 46 54 69 74 92 108 111 113 138 148 207 222 226 276 333 339 414 444 452 621 666 678 828 851 999 1017 1242 1332 1356 1702 1998 2034 2484 2553 2599 3051 3404 3996 4068 4181 5106 5198 6102 7659 7797 8362 10212 10396 12204 12543 15318 15594 16724 22977 23391 25086 30636 31188 37629 45954 46782 50172 70173 75258 91908 93564 96163 112887 140346 150516 192326 225774 280692 288489 384652 451548 576978 865467 1153956 1730934 2596401 3461868 5192802 10385604