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65630376 = 233271071217
BaseRepresentation
bin1111101001011…
…1000010101000
311120111100221200
43322113002220
5113300133001
610302404200
71424564130
oct372270250
9146440850
1065630376
1134057089
1219b90660
131079b956
148a05ac0
155b66086
hex3e970a8

65630376 has 96 divisors (see below), whose sum is σ = 205208640. Its totient is φ = 18561024.

The previous prime is 65630371. The next prime is 65630401. The reversal of 65630376 is 67303656.

65630376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65630376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65630371) 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 23 ways as a sum of consecutive naturals, for example, 53320 + ... + 54536.

It is an arithmetic number, because the mean of its divisors is an integer number (2137590).

Almost surely, 265630376 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 65630376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102604320).

65630376 is an abundant number, since it is smaller than the sum of its proper divisors (139578264).

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

65630376 is a wasteful number, since it uses less digits than its factorization.

65630376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 65630376 is about 8101.2576801383. The cubic root of 65630376 is about 403.3681755449.

The spelling of 65630376 in words is "sixty-five million, six hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 214 252 321 428 504 642 749 856 963 1217 1284 1498 1926 2247 2434 2568 2996 3651 3852 4494 4868 5992 6741 7302 7704 8519 8988 9736 10953 13482 14604 17038 17976 21906 25557 26964 29208 34076 43812 51114 53928 68152 76671 87624 102228 130219 153342 204456 260438 306684 390657 520876 613368 781314 911533 1041752 1171971 1562628 1823066 2343942 2734599 3125256 3646132 4687884 5469198 7292264 8203797 9375768 10938396 16407594 21876792 32815188 65630376