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5316900 = 2235237479
BaseRepresentation
bin10100010010000100100100
3101000010102020
4110102010210
52330120100
6305543140
763123111
oct24220444
911003366
105316900
113001736
121944ab0
1311420c4
149c5908
157005a0
hex512124

5316900 has 72 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1376640.

The previous prime is 5316893. The next prime is 5316901. The reversal of 5316900 is 96135.

It is a super-2 number, since 2×53169002 = 56538851220000, which contains 22 as substring.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5316901) by changing a digit.

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, 10861 + ... + 11339.

Almost surely, 25316900 is an apocalyptic number.

5316900 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 5316900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

5316900 is an abundant number, since it is smaller than the sum of its proper divisors (10515420).

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

5316900 is a wasteful number, since it uses less digits than its factorization.

5316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 5316900 is about 2305.8404107830. The cubic root of 5316900 is about 174.5364603359.

It can be divided in two parts, 5316 and 900, that added together give a triangular number (6216 = T111).

The spelling of 5316900 in words is "five million, three hundred sixteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 479 555 740 925 958 1110 1437 1850 1916 2220 2395 2775 2874 3700 4790 5550 5748 7185 9580 11100 11975 14370 17723 23950 28740 35446 35925 47900 53169 70892 71850 88615 106338 143700 177230 212676 265845 354460 443075 531690 886150 1063380 1329225 1772300 2658450 5316900