Search a number
-
+
51536660 = 22571372687
BaseRepresentation
bin1100010010011…
…0001100010100
310120222100000012
43010212030110
5101143133120
65040335352
71164024440
oct304461424
9116870005
1051536660
112710028a
1215314558
13a8a5986
146bb7820
1547d01c5
hex3126314

51536660 has 48 divisors (see below), whose sum is σ = 124637184. Its totient is φ = 17534208.

The previous prime is 51536659. The next prime is 51536689. The reversal of 51536660 is 6663515.

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, 17837 + ... + 20523.

It is an arithmetic number, because the mean of its divisors is an integer number (2596608).

Almost surely, 251536660 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 51536660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62318592).

51536660 is an abundant number, since it is smaller than the sum of its proper divisors (73100524).

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

51536660 is a wasteful number, since it uses less digits than its factorization.

51536660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 51536660 is about 7178.9038160432. The cubic root of 51536660 is about 372.1392029234.

Subtracting from 51536660 its sum of digits (32), we obtain a triangular number (51536628 = T10152).

The spelling of 51536660 in words is "fifty-one million, five hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2687 2740 3836 4795 5374 9590 10748 13435 18809 19180 26870 37618 53740 75236 94045 188090 368119 376180 736238 1472476 1840595 2576833 3681190 5153666 7362380 10307332 12884165 25768330 51536660