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95006064 = 24317173673
BaseRepresentation
bin1011010100110…
…10110101110000
320121202210211010
411222122311300
5143310143224
613232150520
72232352416
oct552326560
9217683733
1095006064
11496a050a
1227998440
13168b570a
14c8912b6
158519e29
hex5a9ad70

95006064 has 80 divisors (see below), whose sum is σ = 261760032. Its totient is φ = 29589504.

The previous prime is 95006063. The next prime is 95006071. The reversal of 95006064 is 46060059.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95006063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140832 + ... + 141504.

Almost surely, 295006064 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 95006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130880016).

95006064 is an abundant number, since it is smaller than the sum of its proper divisors (166753968).

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

95006064 is a wasteful number, since it uses less digits than its factorization.

95006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 95006064 is about 9747.1054164813. The cubic root of 95006064 is about 456.2999719081.

The spelling of 95006064 in words is "ninety-five million, six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 173 204 272 346 408 519 673 692 816 1038 1346 1384 2019 2076 2692 2768 2941 4038 4152 5384 5882 8076 8304 8823 10768 11441 11764 16152 17646 22882 23528 32304 34323 35292 45764 47056 68646 70584 91528 116429 137292 141168 183056 232858 274584 349287 465716 549168 698574 931432 1397148 1862864 1979293 2794296 3958586 5588592 5937879 7917172 11875758 15834344 23751516 31668688 47503032 95006064