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64241160 = 2335975519
BaseRepresentation
bin1111010100001…
…1111000001000
311110212210022020
43311003320020
5112421204120
610212524440
71410020004
oct365037010
9143783266
1064241160
1133298375
1219620720
1310403529
148763704
15598e640
hex3d43e08

64241160 has 64 divisors (see below), whose sum is σ = 194745600. Its totient is φ = 16951296.

The previous prime is 64241153. The next prime is 64241161. The reversal of 64241160 is 6114246.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64241160.

It is not an unprimeable number, because it can be changed into a prime (64241161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8881 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 264241160 is an apocalyptic number.

64241160 is a gapful number since it is divisible by the number (60) 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 64241160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97372800).

64241160 is an abundant number, since it is smaller than the sum of its proper divisors (130504440).

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

64241160 is a wasteful number, since it uses less digits than its factorization.

64241160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 64241160 is about 8015.0583279225. The cubic root of 64241160 is about 400.5017869281.

The spelling of 64241160 in words is "sixty-four million, two hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5519 5820 11038 11640 16557 22076 27595 33114 44152 55190 66228 82785 110380 132456 165570 220760 331140 535343 662280 1070686 1606029 2141372 2676715 3212058 4282744 5353430 6424116 8030145 10706860 12848232 16060290 21413720 32120580 64241160