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109893330 = 23253761541
BaseRepresentation
bin1101000110011…
…01011011010010
321122210011022100
412203031123102
5211113041310
614523221230
72503035501
oct643153322
9248704270
10109893330
1157039538
1230977816
13199c8951
1410848838
1599aaec0
hex68cd6d2

109893330 has 96 divisors (see below), whose sum is σ = 298806768. Its totient is φ = 27993600.

The previous prime is 109893323. The next prime is 109893331. The reversal of 109893330 is 33398901.

It can be written as a sum of positive squares in 8 ways, for example, as 33837489 + 76055841 = 5817^2 + 8721^2 .

It is not an unprimeable number, because it can be changed into a prime (109893331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202860 + ... + 203400.

Almost surely, 2109893330 is an apocalyptic number.

109893330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109893330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149403384).

109893330 is an abundant number, since it is smaller than the sum of its proper divisors (188913438).

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

109893330 is a wasteful number, since it uses less digits than its factorization.

109893330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 109893330 is about 10483.0019555469. The cubic root of 109893330 is about 478.9870565988.

The spelling of 109893330 in words is "one hundred nine million, eight hundred ninety-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 61 74 90 111 122 183 185 222 305 333 366 370 541 549 555 610 666 915 1082 1098 1110 1623 1665 1830 2257 2705 2745 3246 3330 4514 4869 5410 5490 6771 8115 9738 11285 13542 16230 20017 20313 22570 24345 33001 33855 40034 40626 48690 60051 66002 67710 99003 100085 101565 120102 165005 180153 198006 200170 203130 297009 300255 330010 360306 495015 594018 600510 900765 990030 1221037 1485045 1801530 2442074 2970090 3663111 6105185 7326222 10989333 12210370 18315555 21978666 36631110 54946665 109893330