Search a number
-
+
64113432 = 23329251367
BaseRepresentation
bin1111010010010…
…0101100011000
311110122022002120
43310210230120
5112403112212
610210101240
71405645425
oct364445430
9143568076
1064113432
1133210409
121957a820
131038a356
14872cd4c
15596688c
hex3d24b18

64113432 has 64 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 20496000.

The previous prime is 64113419. The next prime is 64113457. The reversal of 64113432 is 23431146.

It is a super-2 number, since 2×641134322 = 8221064325637248, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 174513 + ... + 174879.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 264113432 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 64113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

64113432 is an abundant number, since it is smaller than the sum of its proper divisors (102811368).

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

64113432 is a wasteful number, since it uses less digits than its factorization.

64113432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 64113432 is about 8007.0863614676. The cubic root of 64113432 is about 400.2361771901.

Adding to 64113432 its reverse (23431146), we get a palindrome (87544578).

The spelling of 64113432 in words is "sixty-four million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 251 348 367 502 696 734 753 1004 1101 1468 1506 2008 2202 2936 3012 4404 6024 7279 8808 10643 14558 21286 21837 29116 31929 42572 43674 58232 63858 85144 87348 92117 127716 174696 184234 255432 276351 368468 552702 736936 1105404 2210808 2671393 5342786 8014179 10685572 16028358 21371144 32056716 64113432