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65506716 = 223211433847
BaseRepresentation
bin1111100111100…
…0110110011100
311120021002022200
43321320312130
5113232203331
610300011500
71423540452
oct371706634
9146232280
1065506716
1133a82190
1219b30b90
1310757592
1489b29d2
155b3e5e6
hex3e78d9c

65506716 has 72 divisors (see below), whose sum is σ = 184888704. Its totient is φ = 19383840.

The previous prime is 65506703. The next prime is 65506747. The reversal of 65506716 is 61760556.

It is a happy number.

It is a super-2 number, since 2×655067162 = 8582259682209312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15105 + ... + 18951.

Almost surely, 265506716 is an apocalyptic number.

65506716 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65506716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92444352).

65506716 is an abundant number, since it is smaller than the sum of its proper divisors (119381988).

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

65506716 is a wasteful number, since it uses less digits than its factorization.

65506716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 65506716 is about 8093.6219333497. The cubic root of 65506716 is about 403.1146757046.

The spelling of 65506716 in words is "sixty-five million, five hundred six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 3847 4257 5676 7694 8514 11541 15388 17028 23082 34623 42317 46164 69246 84634 126951 138492 165421 169268 253902 330842 380853 496263 507804 661684 761706 992526 1488789 1523412 1819631 1985052 2977578 3639262 5458893 5955156 7278524 10917786 16376679 21835572 32753358 65506716