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10158240 = 253521163
BaseRepresentation
bin100110110000…
…000010100000
3201010002111010
4212300002200
510100030430
61001420520
7152225601
oct46600240
921102433
1010158240
115809044
12349a740
1321488c1
1414c5da8
15d59cb0
hex9b00a0

10158240 has 48 divisors (see below), whose sum is σ = 31999968. Its totient is φ = 2708736.

The previous prime is 10158227. The next prime is 10158241. The reversal of 10158240 is 4285101.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10158241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10102 + ... + 11061.

It is an arithmetic number, because the mean of its divisors is an integer number (666666).

Almost surely, 210158240 is an apocalyptic number.

10158240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10158240 is an abundant number, since it is smaller than the sum of its proper divisors (21841728).

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

10158240 is a wasteful number, since it uses less digits than its factorization.

10158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21181 (or 21173 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10158240 is about 3187.1993975903. The cubic root of 10158240 is about 216.5739195413.

The spelling of 10158240 in words is "ten million, one hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21163 42326 63489 84652 105815 126978 169304 211630 253956 317445 338608 423260 507912 634890 677216 846520 1015824 1269780 1693040 2031648 2539560 3386080 5079120 10158240