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65676640 = 255735623
BaseRepresentation
bin1111101010001…
…0010101100000
311120120201102011
43322202111200
5113303123030
610303402304
71425146041
oct372422540
9146521364
1065676640
1134088917
1219bb3394
13107b6a23
148a188c8
155b74b2a
hex3ea2560

65676640 has 48 divisors (see below), whose sum is σ = 157314528. Its totient is φ = 25906176.

The previous prime is 65676601. The next prime is 65676641. The reversal of 65676640 is 4667656.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 65676593 and 65676602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65676641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8869 + ... + 14491.

It is an arithmetic number, because the mean of its divisors is an integer number (3277386).

Almost surely, 265676640 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 65676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78657264).

65676640 is an abundant number, since it is smaller than the sum of its proper divisors (91637888).

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

65676640 is a wasteful number, since it uses less digits than its factorization.

65676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 65676640 is about 8104.1125362374. The cubic root of 65676640 is about 403.4629337103.

The spelling of 65676640 in words is "sixty-five million, six hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5623 5840 11246 11680 22492 28115 44984 56230 89968 112460 179936 224920 410479 449840 820958 899680 1641916 2052395 3283832 4104790 6567664 8209580 13135328 16419160 32838320 65676640