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5337900 = 223452659
BaseRepresentation
bin10100010111001100101100
3101001012020000
4110113030230
52331303100
6310224300
763241251
oct24271454
911035200
105337900
113016497
121955090
13114b829
149cd428
15706900
hex51732c

5337900 has 90 divisors (see below), whose sum is σ = 17329620. Its totient is φ = 1421280.

The previous prime is 5337889. The next prime is 5337911. The reversal of 5337900 is 97335.

It is an interprime number because it is at equal distance from previous prime (5337889) and next prime (5337911).

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-4 number, since 4×53379004 (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 7771 + ... + 8429.

Almost surely, 25337900 is an apocalyptic number.

5337900 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 5337900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664810).

5337900 is an abundant number, since it is smaller than the sum of its proper divisors (11991720).

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

5337900 is a wasteful number, since it uses less digits than its factorization.

5337900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 5337900 is about 2310.3895775388. The cubic root of 5337900 is about 174.7659456060.

The spelling of 5337900 in words is "five million, three hundred thirty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 659 675 810 900 1318 1350 1620 1977 2025 2636 2700 3295 3954 4050 5931 6590 7908 8100 9885 11862 13180 16475 17793 19770 23724 29655 32950 35586 39540 49425 53379 59310 65900 71172 88965 98850 106758 118620 148275 177930 197700 213516 266895 296550 355860 444825 533790 593100 889650 1067580 1334475 1779300 2668950 5337900