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5130912 = 253192997
BaseRepresentation
bin10011100100101010100000
3100122200021210
4103210222200
52303142122
6301550120
761416633
oct23445240
910580253
105130912
112994a26
121875340
1310a8557
14977c1a
156b540c
hex4e4aa0

5130912 has 96 divisors (see below), whose sum is σ = 14817600. Its totient is φ = 1548288.

The previous prime is 5130869. The next prime is 5130913. The reversal of 5130912 is 2190315.

5130912 = T368 + T369 + ... + T431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52848 + ... + 52944.

It is an arithmetic number, because the mean of its divisors is an integer number (154350).

Almost surely, 25130912 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 5130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408800).

5130912 is an abundant number, since it is smaller than the sum of its proper divisors (9686688).

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

5130912 is a wasteful number, since it uses less digits than its factorization.

5130912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

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

The square root of 5130912 is about 2265.1516505523. The cubic root of 5130912 is about 172.4771320242.

The spelling of 5130912 in words is "five million, one hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 97 114 116 152 174 194 228 232 291 304 348 388 456 464 551 582 608 696 776 912 928 1102 1164 1392 1552 1653 1824 1843 2204 2328 2784 2813 3104 3306 3686 4408 4656 5529 5626 6612 7372 8439 8816 9312 11058 11252 13224 14744 16878 17632 22116 22504 26448 29488 33756 44232 45008 52896 53447 58976 67512 88464 90016 106894 135024 160341 176928 213788 270048 320682 427576 641364 855152 1282728 1710304 2565456 5130912