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456139640 = 235111036681
BaseRepresentation
bin11011001100000…
…010001101111000
31011210022021221202
4123030002031320
51413232432030
6113132353332
714206060115
oct3314021570
91153267852
10456139640
1121452a510
12108915848
1373669418
144481990c
152a0a2745
hex1b302378

456139640 has 32 divisors (see below), whose sum is σ = 1119616560. Its totient is φ = 165868800.

The previous prime is 456139633. The next prime is 456139643. The reversal of 456139640 is 46931654.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 456139594 and 456139603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456139643) 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 7 ways as a sum of consecutive naturals, for example, 517901 + ... + 518780.

Almost surely, 2456139640 is an apocalyptic number.

456139640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456139640 is an abundant number, since it is smaller than the sum of its proper divisors (663476920).

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

456139640 is a wasteful number, since it uses less digits than its factorization.

456139640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036703 (or 1036699 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 456139640 is about 21357.4258748567. The cubic root of 456139640 is about 769.7787861751.

The spelling of 456139640 in words is "four hundred fifty-six million, one hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1036681 2073362 4146724 5183405 8293448 10366810 11403491 20733620 22806982 41467240 45613964 57017455 91227928 114034910 228069820 456139640