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64100712 = 23313415011
BaseRepresentation
bin1111010010000…
…1100101101000
311110121122122110
43310201211220
5112402210322
610205522320
71405563354
oct364414550
9143548573
1064100712
11332018a5
12195733a0
1310384620
148728464
155962c0c
hex3d21968

64100712 has 64 divisors (see below), whose sum is σ = 176823360. Its totient is φ = 19238400.

The previous prime is 64100689. The next prime is 64100713. The reversal of 64100712 is 21700146.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64100713) 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, 10287 + ... + 15297.

It is an arithmetic number, because the mean of its divisors is an integer number (2762865).

Almost surely, 264100712 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 64100712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88411680).

64100712 is an abundant number, since it is smaller than the sum of its proper divisors (112722648).

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

64100712 is a wasteful number, since it uses less digits than its factorization.

64100712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 64100712 is about 8006.2920256508. The cubic root of 64100712 is about 400.2097067052.

Adding to 64100712 its reverse (21700146), we get a palindrome (85800858).

The spelling of 64100712 in words is "sixty-four million, one hundred thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 5011 6396 10022 12792 15033 20044 30066 40088 60132 65143 120264 130286 195429 205451 260572 390858 410902 521144 616353 781716 821804 1232706 1563432 1643608 2465412 2670863 4930824 5341726 8012589 10683452 16025178 21366904 32050356 64100712