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5315076 = 22321341277
BaseRepresentation
bin10100010001101000000100
3101000000220200
4110101220010
52330040301
6305530500
763114564
oct24215004
911000820
105315076
113000328
121943a30
131141320
149c4da4
156eec86
hex511a04

5315076 has 72 divisors (see below), whose sum is σ = 14875224. Its totient is φ = 1589760.

The previous prime is 5315069. The next prime is 5315083. The reversal of 5315076 is 6705135.

It is an interprime number because it is at equal distance from previous prime (5315069) and next prime (5315083).

It can be written as a sum of positive squares in 4 ways, for example, as 360000 + 4955076 = 600^2 + 2226^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19050 + ... + 19326.

Almost surely, 25315076 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 5315076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437612).

5315076 is an abundant number, since it is smaller than the sum of its proper divisors (9560148).

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

5315076 is a wasteful number, since it uses less digits than its factorization.

5315076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5315076 is about 2305.4448594577. Note that the first 3 decimals coincide. The cubic root of 5315076 is about 174.5164993991.

It can be divided in two parts, 53 and 15076, that added together give a square (15129 = 1232).

The spelling of 5315076 in words is "five million, three hundred fifteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 277 369 468 492 533 554 738 831 1066 1108 1476 1599 1662 2132 2493 3198 3324 3601 4797 4986 6396 7202 9594 9972 10803 11357 14404 19188 21606 22714 32409 34071 43212 45428 64818 68142 102213 129636 136284 147641 204426 295282 408852 442923 590564 885846 1328769 1771692 2657538 5315076