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65948680 = 2357317743
BaseRepresentation
bin1111101110010…
…0110000001000
311121002112120201
43323210300020
5113340324210
610313301544
71430361130
oct373446010
9147075521
1065948680
1134254246
121a1048b4
13108807b5
148a89ac0
155bca53a
hex3ee4c08

65948680 has 64 divisors (see below), whose sum is σ = 170346240. Its totient is φ = 22509312.

The previous prime is 65948669. The next prime is 65948693. The reversal of 65948680 is 8684956.

It is a self number, because there is not a number n which added to its sum of digits gives 65948680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88389 + ... + 89131.

It is an arithmetic number, because the mean of its divisors is an integer number (2661660).

Almost surely, 265948680 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 65948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85173120).

65948680 is an abundant number, since it is smaller than the sum of its proper divisors (104397560).

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

65948680 is a wasteful number, since it uses less digits than its factorization.

65948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 65948680 is about 8120.8792627400. The cubic root of 65948680 is about 404.0192292256.

The spelling of 65948680 in words is "sixty-five million, nine hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 317 634 743 1268 1486 1585 2219 2536 2972 3170 3715 4438 5201 5944 6340 7430 8876 10402 11095 12680 14860 17752 20804 22190 26005 29720 41608 44380 52010 88760 104020 208040 235531 471062 942124 1177655 1648717 1884248 2355310 3297434 4710620 6594868 8243585 9421240 13189736 16487170 32974340 65948680