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65140032 = 2632911699
BaseRepresentation
bin1111100001111…
…1010101000000
311112120110022210
43320133111000
5113133440112
610244102120
71420452426
oct370372500
9145513283
1065140032
1133851741
1219994940
13106596c9
148919116
155abab3c
hex3e1f540

65140032 has 56 divisors (see below), whose sum is σ = 178308000. Its totient is φ = 20962816.

The previous prime is 65140027. The next prime is 65140057. The reversal of 65140032 is 23004156.

It is a happy number.

65140032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×651400322 = 8486447537922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65139990 and 65140008.

It is a congruent number.

It is an unprimeable number.

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, 282 + ... + 11417.

Almost surely, 265140032 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 65140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89154000).

65140032 is an abundant number, since it is smaller than the sum of its proper divisors (113167968).

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

65140032 is a wasteful number, since it uses less digits than its factorization.

65140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 65140032 is about 8070.9374920142. The cubic root of 65140032 is about 402.3611022350.

Adding to 65140032 its reverse (23004156), we get a palindrome (88144188).

The spelling of 65140032 in words is "sixty-five million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 11699 23398 35097 46796 70194 93592 140388 187184 280776 339271 374368 561552 678542 748736 1017813 1123104 1357084 2035626 2246208 2714168 4071252 5428336 8142504 10856672 16285008 21713344 32570016 65140032