Search a number
-
+
5010096 = 2437133137
BaseRepresentation
bin10011000111001010110000
3100102112120010
4103013022300
52240310341
6255214520
760404460
oct23071260
910375503
105010096
112912183
121817440
131065570
14945ba0
1568e716
hex4c72b0

5010096 has 160 divisors (see below), whose sum is σ = 16887808. Its totient is φ = 1244160.

The previous prime is 5010079. The next prime is 5010107. The reversal of 5010096 is 6900105.

5010096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 135390 + ... + 135426.

Almost surely, 25010096 is an apocalyptic number.

5010096 is a gapful number since it is divisible by the number (56) 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 5010096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443904).

5010096 is an abundant number, since it is smaller than the sum of its proper divisors (11877712).

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

5010096 is a wasteful number, since it uses less digits than its factorization.

5010096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5010096 is about 2238.3243732757. The cubic root of 5010096 is about 171.1126100704.

The spelling of 5010096 in words is "five million, ten thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 37 39 42 48 52 56 62 74 78 84 91 93 104 111 112 124 148 156 168 182 186 208 217 222 248 259 273 296 312 336 364 372 403 434 444 481 496 518 546 592 624 651 728 744 777 806 868 888 962 1036 1092 1147 1209 1302 1443 1456 1488 1554 1612 1736 1776 1924 2072 2184 2294 2418 2604 2821 2886 3108 3224 3367 3441 3472 3848 4144 4368 4588 4836 5208 5642 5772 6216 6448 6734 6882 7696 8029 8463 9176 9672 10101 10416 11284 11544 12432 13468 13764 14911 16058 16926 18352 19344 20202 22568 23088 24087 26936 27528 29822 32116 33852 40404 44733 45136 48174 53872 55056 59644 64232 67704 80808 89466 96348 104377 119288 128464 135408 161616 178932 192696 208754 238576 313131 357864 385392 417508 626262 715728 835016 1252524 1670032 2505048 5010096