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65420460 = 223657641
BaseRepresentation
bin1111100110001…
…1110010101100
311120002201000000
43321203302230
5113221423320
610254104300
71423031130
oct371436254
9146081000
1065420460
1133a233a6
1219aab090
1310727241
14898d3c0
155b23c90
hex3e63cac

65420460 has 168 divisors, whose sum is σ = 235773216. Its totient is φ = 14929920.

The previous prime is 65420449. The next prime is 65420479. The reversal of 65420460 is 6402456.

It is a happy number.

65420460 is a `hidden beast` number, since 654 + 2 + 0 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×654204602 = 8559673173223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101740 + ... + 102380.

It is an arithmetic number, because the mean of its divisors is an integer number (1403412).

Almost surely, 265420460 is an apocalyptic number.

65420460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65420460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117886608).

65420460 is an abundant number, since it is smaller than the sum of its proper divisors (170352756).

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

65420460 is a wasteful number, since it uses less digits than its factorization.

65420460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 65420460 is about 8088.2915377724. The cubic root of 65420460 is about 402.9376641737.

The spelling of 65420460 in words is "sixty-five million, four hundred twenty thousand, four hundred sixty".