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240090916 = 221319415927
BaseRepresentation
bin11100100111101…
…11111100100100
3121201202212211011
432103313330210
5442430402131
635453552004
75643511342
oct1623677444
9551685734
10240090916
1111358594a
12684a5604
133a983340
1423c5a992
15161280b1
hexe4f7f24

240090916 has 48 divisors (see below), whose sum is σ = 487992960. Its totient is φ = 102401280.

The previous prime is 240090857. The next prime is 240090919. The reversal of 240090916 is 619090042.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (240090919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37545 + ... + 43471.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2240090916 is an apocalyptic number.

240090916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

240090916 is an abundant number, since it is smaller than the sum of its proper divisors (247902044).

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

240090916 is a wasteful number, since it uses less digits than its factorization.

240090916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 240090916 is about 15494.8674082743. The cubic root of 240090916 is about 621.5249627148.

The spelling of 240090916 in words is "two hundred forty million, ninety thousand, nine hundred sixteen".

Divisors: 1 2 4 13 19 26 38 41 52 76 82 164 247 494 533 779 988 1066 1558 2132 3116 5927 10127 11854 20254 23708 40508 77051 112613 154102 225226 243007 308204 450452 486014 972028 1463969 2927938 3159091 4617133 5855876 6318182 9234266 12636364 18468532 60022729 120045458 240090916