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65676380 = 22571123877
BaseRepresentation
bin1111101010001…
…0010001011100
311120120201001112
43322202101130
5113303121010
610303401152
71425145220
oct372422134
9146521045
1065676380
1134088700
1219bb31b8
13107b6883
148a18780
155b74a05
hex3ea245c

65676380 has 72 divisors (see below), whose sum is σ = 173300064. Its totient is φ = 20465280.

The previous prime is 65676379. The next prime is 65676419. The reversal of 65676380 is 8367656.

65676380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 15002 + ... + 18878.

Almost surely, 265676380 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 65676380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86650032).

65676380 is an abundant number, since it is smaller than the sum of its proper divisors (107623684).

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

65676380 is a wasteful number, since it uses less digits than its factorization.

65676380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 65676380 is about 8104.0964949833. The cubic root of 65676380 is about 403.4624013013.

The spelling of 65676380 in words is "sixty-five million, six hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 3877 4235 7754 8470 15508 16940 19385 27139 38770 42647 54278 77540 85294 108556 135695 170588 213235 271390 298529 426470 469117 542780 597058 852940 938234 1194116 1492645 1876468 2345585 2985290 3283819 4691170 5970580 6567638 9382340 13135276 16419095 32838190 65676380