[go: up one dir, main page]

Search a number
-
+
5129696 = 2511131959
BaseRepresentation
bin10011100100010111100000
3100122121121202
4103210113200
52303122241
6301540332
761413245
oct23442740
910577552
105129696
112994020
1218746a8
1310a7b30
149775cc
156b4d9b
hex4e45e0

5129696 has 96 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 2004480.

The previous prime is 5129681. The next prime is 5129731. The reversal of 5129696 is 6969215.

It is a Harshad number since it is a multiple of its sum of digits (38).

5129696 is a modest number, since divided by 9696 gives 512 as remainder.

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, 86915 + ... + 86973.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 25129696 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 5129696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

5129696 is an abundant number, since it is smaller than the sum of its proper divisors (7571104).

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

5129696 is a wasteful number, since it uses less digits than its factorization.

5129696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its digits is 29160, while the sum is 38.

The square root of 5129696 is about 2264.8832199476. The cubic root of 5129696 is about 172.4635055472.

The spelling of 5129696 in words is "five million, one hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 59 76 88 104 118 143 152 176 208 209 236 247 286 304 352 416 418 472 494 572 608 649 767 836 944 988 1121 1144 1298 1534 1672 1888 1976 2242 2288 2596 2717 3068 3344 3952 4484 4576 5192 5434 6136 6688 7904 8437 8968 10384 10868 12272 12331 14573 16874 17936 20768 21736 24544 24662 29146 33748 35872 43472 49324 58292 67496 86944 98648 116584 134992 160303 197296 233168 269984 320606 394592 466336 641212 1282424 2564848 5129696