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65666328 = 233713107281
BaseRepresentation
bin1111101001111…
…1110100011000
311120120012021020
43322133310120
5113302310303
610303242440
71425104010
oct372376430
9146505236
1065666328
11340810a2
1219ba9420
13107b2120
148a14c40
155b71a53
hex3e9fd18

65666328 has 128 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 17095680.

The previous prime is 65666323. The next prime is 65666371. The reversal of 65666328 is 82366656.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 65666328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65666323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233548 + ... + 233828.

It is an arithmetic number, because the mean of its divisors is an integer number (1598940).

Almost surely, 265666328 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 65666328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

65666328 is an abundant number, since it is smaller than the sum of its proper divisors (138997992).

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

65666328 is a wasteful number, since it uses less digits than its factorization.

65666328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 65666328 is about 8103.4762910741. The cubic root of 65666328 is about 403.4418164732.

The spelling of 65666328 in words is "sixty-five million, six hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 107 156 168 182 214 273 281 312 321 364 428 546 562 642 728 749 843 856 1092 1124 1284 1391 1498 1686 1967 2184 2247 2248 2568 2782 2996 3372 3653 3934 4173 4494 5564 5901 5992 6744 7306 7868 8346 8988 9737 10959 11128 11802 14612 15736 16692 17976 19474 21918 23604 25571 29211 29224 30067 33384 38948 43836 47208 51142 58422 60134 76713 77896 87672 90201 102284 116844 120268 153426 180402 204568 210469 233688 240536 306852 360804 390871 420938 613704 631407 721608 781742 841876 1172613 1262814 1563484 1683752 2345226 2525628 2736097 3126968 4690452 5051256 5472194 8208291 9380904 10944388 16416582 21888776 32833164 65666328