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10380825 = 33527133
BaseRepresentation
bin100111100110…
…011000011001
3201112101211000
4213212120121
510124141300
61010255213
7154143540
oct47463031
921471730
1010380825
1159502a4
123587509
1321c6000
141543157
15da0c00
hex9e6619

10380825 has 96 divisors (see below), whose sum is σ = 23609600. Its totient is φ = 4380480.

The previous prime is 10380817. The next prime is 10380827. The reversal of 10380825 is 52808301.

It is a happy number.

10380825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10380825 - 23 = 10380817 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10380827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 798519 + ... + 798531.

Almost surely, 210380825 is an apocalyptic number.

10380825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10380825 is an abundant number, since it is smaller than the sum of its proper divisors (13228775).

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

10380825 is an equidigital number, since it uses as much as digits as its factorization.

10380825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10380825 is about 3221.9287701624. The cubic root of 10380825 is about 218.1443437059.

The spelling of 10380825 in words is "ten million, three hundred eighty thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 135 169 175 189 195 225 273 315 325 351 455 507 525 585 675 819 845 945 975 1183 1365 1521 1575 1755 2197 2275 2457 2535 2925 3549 4095 4225 4563 4725 5915 6591 6825 7605 8775 10647 10985 12285 12675 15379 17745 19773 20475 22815 29575 31941 32955 38025 46137 53235 54925 59319 61425 76895 88725 98865 114075 138411 159705 164775 230685 266175 296595 384475 415233 494325 692055 798525 1153425 1482975 2076165 3460275 10380825