Search a number
-
+
5131300536 = 2333172814973
BaseRepresentation
bin1001100011101100…
…10110111010111000
3111020121110002001000
410301312112322320
541002103104121
62205101325000
7241105222605
oct46166267270
914217402030
105131300536
1121a353804a
12bb2566760
1363a11130b
143696bd6ac
15200740526
hex131d96eb8

5131300536 has 128 divisors (see below), whose sum is σ = 15148814400. Its totient is φ = 1603768320.

The previous prime is 5131300501. The next prime is 5131300547. The reversal of 5131300536 is 6350031315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029346 + ... + 1034318.

Almost surely, 25131300536 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 5131300536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574407200).

5131300536 is an abundant number, since it is smaller than the sum of its proper divisors (10017513864).

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

5131300536 is a wasteful number, since it uses less digits than its factorization.

5131300536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 5131300536 is about 71633.0966523157. The cubic root of 5131300536 is about 1724.8148549872.

The spelling of 5131300536 in words is "five billion, one hundred thirty-one million, three hundred thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 281 306 408 459 562 612 843 918 1124 1224 1686 1836 2248 2529 3372 3672 4777 4973 5058 6744 7587 9554 9946 10116 14331 14919 15174 19108 19892 20232 28662 29838 30348 38216 39784 42993 44757 57324 59676 60696 84541 85986 89514 114648 119352 128979 134271 169082 171972 179028 253623 257958 268542 338164 343944 358056 507246 515916 537084 676328 760869 1014492 1031832 1074168 1397413 1521738 2028984 2282607 2794826 3043476 4192239 4565214 5589652 6086952 8384478 9130428 11179304 12576717 16768956 18260856 23756021 25153434 33537912 37730151 47512042 50306868 71268063 75460302 95024084 100613736 142536126 150920604 190048168 213804189 285072252 301841208 427608378 570144504 641412567 855216756 1282825134 1710433512 2565650268 5131300536