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5319900 = 22325223257
BaseRepresentation
bin10100010010110011011100
3101000021112100
4110102303130
52330214100
6310005100
763134625
oct24226334
911007470
105319900
113003a13
121946790
131143591
149c6a4c
15701400
hex512cdc

5319900 has 108 divisors (see below), whose sum is σ = 17467632. Its totient is φ = 1351680.

The previous prime is 5319893. The next prime is 5319911. The reversal of 5319900 is 99135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20572 + ... + 20828.

Almost surely, 25319900 is an apocalyptic number.

5319900 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 5319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733816).

5319900 is an abundant number, since it is smaller than the sum of its proper divisors (12147732).

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

5319900 is a wasteful number, since it uses less digits than its factorization.

5319900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 5319900 is about 2306.4908410831. The cubic root of 5319900 is about 174.5692808975.

The spelling of 5319900 in words is "five million, three hundred nineteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 257 276 300 345 414 450 460 514 575 690 771 828 900 1028 1035 1150 1285 1380 1542 1725 2070 2300 2313 2570 3084 3450 3855 4140 4626 5140 5175 5911 6425 6900 7710 9252 10350 11565 11822 12850 15420 17733 19275 20700 23130 23644 25700 29555 35466 38550 46260 53199 57825 59110 70932 77100 88665 106398 115650 118220 147775 177330 212796 231300 265995 295550 354660 443325 531990 591100 886650 1063980 1329975 1773300 2659950 5319900