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460064040 = 23353833867
BaseRepresentation
bin11011011011000…
…000010100101000
31012001200200012220
4123123000110220
51420234022130
6113352434040
714254323402
oct3333002450
91161620186
10460064040
1121676aa17
1210a0a8920
1374411757
144515bb72
152a5ca410
hex1b6c0528

460064040 has 32 divisors (see below), whose sum is σ = 1380192480. Its totient is φ = 122683712.

The previous prime is 460064029. The next prime is 460064053. The reversal of 460064040 is 40460064.

It is a super-2 number, since 2×4600640402 = 423317841802243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 460064040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1916814 + ... + 1917053.

It is an arithmetic number, because the mean of its divisors is an integer number (43131015).

Almost surely, 2460064040 is an apocalyptic number.

460064040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460064040 is an abundant number, since it is smaller than the sum of its proper divisors (920128440).

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

460064040 is a wasteful number, since it uses less digits than its factorization.

460064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833881 (or 3833877 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 460064040 is about 21449.1034777680. The cubic root of 460064040 is about 771.9800839628.

The spelling of 460064040 in words is "four hundred sixty million, sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3833867 7667734 11501601 15335468 19169335 23003202 30670936 38338670 46006404 57508005 76677340 92012808 115016010 153354680 230032020 460064040