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65135148 = 223132391747
BaseRepresentation
bin1111100001111…
…0001000101100
311112120012121220
43320132020230
5113133311043
610244023340
71420432251
oct370361054
9145505556
1065135148
1133849001
1219991b50
1310657410
148917428
155ab9483
hex3e1e22c

65135148 has 48 divisors (see below), whose sum is σ = 164451840. Its totient is φ = 19946304.

The previous prime is 65135141. The next prime is 65135171. The reversal of 65135148 is 84153156.

65135148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65135141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36411 + ... + 38157.

It is an arithmetic number, because the mean of its divisors is an integer number (3426080).

Almost surely, 265135148 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 65135148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82225920).

65135148 is an abundant number, since it is smaller than the sum of its proper divisors (99316692).

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

65135148 is a wasteful number, since it uses less digits than its factorization.

65135148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2004 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 65135148 is about 8070.6349192613. The cubic root of 65135148 is about 402.3510460495.

The spelling of 65135148 in words is "sixty-five million, one hundred thirty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 478 717 956 1434 1747 2868 3107 3494 5241 6214 6988 9321 10482 12428 18642 20964 22711 37284 45422 68133 90844 136266 272532 417533 835066 1252599 1670132 2505198 5010396 5427929 10855858 16283787 21711716 32567574 65135148