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10075440 = 243541981
BaseRepresentation
bin100110011011…
…110100110000
3200221212220110
4212123310300
510034403230
6555541320
7151432314
oct46336460
920855813
1010075440
115761911
12345a840
132119ccb
1414a3b44
15d404b0
hex99bd30

10075440 has 40 divisors (see below), whose sum is σ = 31234608. Its totient is φ = 2686720.

The previous prime is 10075427. The next prime is 10075447. The reversal of 10075440 is 4457001.

10075440 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 (40).

It is not an unprimeable number, because it can be changed into a prime (10075447) 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, 20751 + ... + 21230.

Almost surely, 210075440 is an apocalyptic number.

10075440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10075440 is an abundant number, since it is smaller than the sum of its proper divisors (21159168).

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

10075440 is a wasteful number, since it uses less digits than its factorization.

10075440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41997 (or 41991 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 10075440 is about 3174.1833595430. The cubic root of 10075440 is about 215.9838808273.

The spelling of 10075440 in words is "ten million, seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41981 83962 125943 167924 209905 251886 335848 419810 503772 629715 671696 839620 1007544 1259430 1679240 2015088 2518860 3358480 5037720 10075440