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64132068 = 2237111319281
BaseRepresentation
bin1111010010100…
…1001111100100
311110200020122210
43310221033210
5112404211233
610210323420
71406053650
oct364511744
9143606583
1064132068
1133223410
1219589570
1310395990
148735a60
15596c163
hex3d293e4

64132068 has 192 divisors, whose sum is σ = 212244480. Its totient is φ = 14515200.

The previous prime is 64132051. The next prime is 64132069. The reversal of 64132068 is 86023146.

It is a super-2 number, since 2×641320682 = 8225844291913248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64132069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228088 + ... + 228368.

It is an arithmetic number, because the mean of its divisors is an integer number (1105440).

Almost surely, 264132068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64132068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106122240).

64132068 is an abundant number, since it is smaller than the sum of its proper divisors (148112412).

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

64132068 is a wasteful number, since it uses less digits than its factorization.

64132068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 64132068 is about 8008.2499960978. The cubic root of 64132068 is about 400.2749526260.

The spelling of 64132068 in words is "sixty-four million, one hundred thirty-two thousand, sixty-eight".