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109300608 = 2732791201
BaseRepresentation
bin1101000001111…
…00101110000000
321121200001020200
412200330232000
5210440104413
614502405200
72465016444
oct640745600
9247601220
10109300608
115677418a
1230730800
131984bc21
1410732824
1598e0573
hex683cb80

109300608 has 96 divisors (see below), whose sum is σ = 318770400. Its totient is φ = 35942400.

The previous prime is 109300591. The next prime is 109300619. The reversal of 109300608 is 806003901.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 90408 + ... + 91608.

It is an arithmetic number, because the mean of its divisors is an integer number (3320525).

Almost surely, 2109300608 is an apocalyptic number.

109300608 is a gapful number since it is divisible by the number (18) 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 109300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159385200).

109300608 is an abundant number, since it is smaller than the sum of its proper divisors (209469792).

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

109300608 is a wasteful number, since it uses less digits than its factorization.

109300608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109300608 is about 10454.6931088387. The cubic root of 109300608 is about 478.1243468913.

The spelling of 109300608 in words is "one hundred nine million, three hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1201 1264 1422 1896 2402 2528 2844 3603 3792 4804 5056 5688 7206 7584 9608 10112 10809 11376 14412 15168 19216 21618 22752 28824 30336 38432 43236 45504 57648 76864 86472 91008 94879 115296 153728 172944 189758 230592 284637 345888 379516 461184 569274 691776 759032 853911 1138548 1383552 1518064 1707822 2277096 3036128 3415644 4554192 6072256 6831288 9108384 12144512 13662576 18216768 27325152 36433536 54650304 109300608