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10464040 = 235261601
BaseRepresentation
bin100111111010…
…101100101000
3201200121222001
4213322230220
510134322130
61012140344
7154641256
oct47725450
921617861
1010464040
1159a7874
1236076b4
132224b52
1415655d6
15dba6ca
hex9fab28

10464040 has 16 divisors (see below), whose sum is σ = 23544180. Its totient is φ = 4185600.

The previous prime is 10464037. The next prime is 10464043. The reversal of 10464040 is 4046401.

It is an interprime number because it is at equal distance from previous prime (10464037) and next prime (10464043).

It can be written as a sum of positive squares in 2 ways, for example, as 9205156 + 1258884 = 3034^2 + 1122^2 .

It is a super-2 number, since 2×104640402 = 218992266243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10463999 and 10464017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130761 + ... + 130840.

Almost surely, 210464040 is an apocalyptic number.

10464040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10464040 is an abundant number, since it is smaller than the sum of its proper divisors (13080140).

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

10464040 is a wasteful number, since it uses less digits than its factorization.

10464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261612 (or 261608 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10464040 is about 3234.8168418011. The cubic root of 10464040 is about 218.7256909041.

The spelling of 10464040 in words is "ten million, four hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 261601 523202 1046404 1308005 2092808 2616010 5232020 10464040