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64130440 = 23511236337
BaseRepresentation
bin1111010010100…
…0110110001000
311110200011102111
43310220312020
5112404133230
610210312104
71406046133
oct364506610
9143604374
1064130440
1133222170
1219588634
131039500a
14873521a
15596b92a
hex3d28d88

64130440 has 64 divisors (see below), whose sum is σ = 164280960. Its totient is φ = 22302720.

The previous prime is 64130431. The next prime is 64130447. The reversal of 64130440 is 4403146.

It is a happy number.

It is a super-2 number, since 2×641304402 = 8225426669187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (64130447) 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, 6952 + ... + 13288.

It is an arithmetic number, because the mean of its divisors is an integer number (2566890).

Almost surely, 264130440 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 64130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82140480).

64130440 is an abundant number, since it is smaller than the sum of its proper divisors (100150520).

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

64130440 is a wasteful number, since it uses less digits than its factorization.

64130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 64130440 is about 8008.1483502742. The cubic root of 64130440 is about 400.2715655886.

Adding to 64130440 its reverse (4403146), we get a palindrome (68533586).

The spelling of 64130440 in words is "sixty-four million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 6337 10120 12674 25348 31685 50696 63370 69707 126740 139414 145751 253480 278828 291502 348535 557656 583004 697070 728755 1166008 1394140 1457510 1603261 2788280 2915020 3206522 5830040 6413044 8016305 12826088 16032610 32065220 64130440