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109240272 = 24331913309
BaseRepresentation
bin1101000001011…
…01111111010000
321121112222111000
412200231333100
5210431142042
614501222000
72464345521
oct640557720
9247488430
10109240272
1156732919
1230701900
131982a61b
1410718848
1598cc74c
hex682dfd0

109240272 has 80 divisors (see below), whose sum is σ = 330088000. Its totient is φ = 34494336.

The previous prime is 109240247. The next prime is 109240273. The reversal of 109240272 is 272042901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109240273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554 + ... + 14862.

It is an arithmetic number, because the mean of its divisors is an integer number (4126100).

Almost surely, 2109240272 is an apocalyptic number.

109240272 is a gapful number since it is divisible by the number (12) 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 109240272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165044000).

109240272 is an abundant number, since it is smaller than the sum of its proper divisors (220847728).

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

109240272 is a wasteful number, since it uses less digits than its factorization.

109240272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13345 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 109240272 is about 10451.8071164751. The cubic root of 109240272 is about 478.0363528079.

The spelling of 109240272 in words is "one hundred nine million, two hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 13309 26618 39927 53236 79854 106472 119781 159708 212944 239562 252871 319416 359343 479124 505742 638832 718686 758613 958248 1011484 1437372 1517226 1916496 2022968 2275839 2874744 3034452 4045936 4551678 5749488 6068904 6827517 9103356 12137808 13655034 18206712 27310068 36413424 54620136 109240272