Search a number
-
+
65531136 = 283117757
BaseRepresentation
bin1111100111111…
…0110100000000
311120022022211010
43321332310000
5113233444021
610300320520
71424001606
oct371766400
9146268733
1065531136
1133a99570
1219b43140
1310765728
1489bb876
155b46976
hex3e7ed00

65531136 has 72 divisors (see below), whose sum is σ = 190288224. Its totient is φ = 19855360.

The previous prime is 65531119. The next prime is 65531143. The reversal of 65531136 is 63113556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4570 + ... + 12326.

It is an arithmetic number, because the mean of its divisors is an integer number (2642892).

Almost surely, 265531136 is an apocalyptic number.

65531136 is a gapful number since it is divisible by the number (66) 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 65531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95144112).

65531136 is an abundant number, since it is smaller than the sum of its proper divisors (124757088).

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

65531136 is a wasteful number, since it uses less digits than its factorization.

65531136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7787 (or 7773 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 65531136 is about 8095.1303880790. The cubic root of 65531136 is about 403.1647613446.

The spelling of 65531136 in words is "sixty-five million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 7757 8448 15514 23271 31028 46542 62056 85327 93084 124112 170654 186168 248224 255981 341308 372336 496448 511962 682616 744672 992896 1023924 1365232 1489344 1985792 2047848 2730464 2978688 4095696 5460928 5957376 8191392 10921856 16382784 21843712 32765568 65531136