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5315305300 = 22523711312713
BaseRepresentation
bin1001111001101000…
…10001111101010100
3111201102200111010021
410330310101331110
541341204232200
62235233234524
7245501230624
oct47464217524
914642614107
105315305300
1122883955a8
121044102a44
13669287c86
14385cda884
1521198a41a
hex13cd11f54

5315305300 has 72 divisors (see below), whose sum is σ = 11951719416. Its totient is φ = 2050191360.

The previous prime is 5315305253. The next prime is 5315305319. The reversal of 5315305300 is 35035135.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 645769744 + 4669535556 = 25412^2 + 68334^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411744 + ... + 424456.

It is an arithmetic number, because the mean of its divisors is an integer number (165996103).

Almost surely, 25315305300 is an apocalyptic number.

5315305300 is a gapful number since it is divisible by the number (50) 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 5315305300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975859708).

5315305300 is an abundant number, since it is smaller than the sum of its proper divisors (6636414116).

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

5315305300 is a wasteful number, since it uses less digits than its factorization.

5315305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12877 (or 12870 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 25.

The square root of 5315305300 is about 72906.1403449668. The cubic root of 5315305300 is about 1745.1900899369.

The spelling of 5315305300 in words is "five billion, three hundred fifteen million, three hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 113 148 185 226 370 452 565 740 925 1130 1850 2260 2825 3700 4181 5650 8362 11300 12713 16724 20905 25426 41810 50852 63565 83620 104525 127130 209050 254260 317825 418100 470381 635650 940762 1271300 1436569 1881524 2351905 2873138 4703810 5746276 7182845 9407620 11759525 14365690 23519050 28731380 35914225 47038100 53153053 71828450 106306106 143656900 212612212 265765265 531530530 1063061060 1328826325 2657652650 5315305300