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460020064 = 2572053661
BaseRepresentation
bin11011011010110…
…101100101100000
31012001121102220011
4123122311211200
51420231120224
6113351454304
714254051240
oct3332654540
91161542804
10460020064
1121673a979
1210a087394
13743c772a
1445149b20
152a5bc394
hex1b6b5960

460020064 has 24 divisors (see below), whose sum is σ = 1035045648. Its totient is φ = 197151360.

The previous prime is 460020059. The next prime is 460020073.

460020064 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1026607 + ... + 1027054.

It is an arithmetic number, because the mean of its divisors is an integer number (43126902).

Almost surely, 2460020064 is an apocalyptic number.

It is an amenable number.

460020064 is an abundant number, since it is smaller than the sum of its proper divisors (575025584).

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

460020064 is a wasteful number, since it uses less digits than its factorization.

460020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053678 (or 2053670 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 460020064 is about 21448.0783288387. The cubic root of 460020064 is about 771.9554861713.

The spelling of 460020064 in words is "four hundred sixty million, twenty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2053661 4107322 8214644 14375627 16429288 28751254 32858576 57502508 65717152 115005016 230010032 460020064