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13329900 = 2233524937
BaseRepresentation
bin110010110110…
…010111101100
3221002020012000
4302312113230
511403024100
61153412300
7221205453
oct62662754
927066160
1013329900
117584a51
12456a090
1329b941c
141aadb9a
151284900
hexcb65ec

13329900 has 72 divisors (see below), whose sum is σ = 42861840. Its totient is φ = 3553920.

The previous prime is 13329889. The next prime is 13329913. The reversal of 13329900 is 992331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232 + ... + 5168.

Almost surely, 213329900 is an apocalyptic number.

13329900 is a gapful number since it is divisible by the number (10) 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 13329900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21430920).

13329900 is an abundant number, since it is smaller than the sum of its proper divisors (29531940).

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

13329900 is a wasteful number, since it uses less digits than its factorization.

13329900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 13329900 is about 3651.0135579042. The cubic root of 13329900 is about 237.1058652182.

The spelling of 13329900 in words is "thirteen million, three hundred twenty-nine 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 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4937 9874 14811 19748 24685 29622 44433 49370 59244 74055 88866 98740 123425 133299 148110 177732 222165 246850 266598 296220 370275 444330 493700 533196 666495 740550 888660 1110825 1332990 1481100 2221650 2665980 3332475 4443300 6664950 13329900