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109798304 = 2571124051
BaseRepresentation
bin1101000101101…
…10001110100000
321122121022221212
412202312032200
5211102021204
614521205252
72502161450
oct642661640
9248538855
10109798304
1156a84100
1230930828
1319994615
1410821d60
15998cc6e
hex68b63a0

109798304 has 72 divisors (see below), whose sum is σ = 271613664. Its totient is φ = 42768000.

The previous prime is 109798303. The next prime is 109798319. The reversal of 109798304 is 403897901.

It is a happy number.

It is a super-2 number, since 2×1097983042 = 24111335122552832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109798301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25079 + ... + 29129.

It is an arithmetic number, because the mean of its divisors is an integer number (3772412).

Almost surely, 2109798304 is an apocalyptic number.

109798304 is a gapful number since it is divisible by the number (14) 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 109798304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135806832).

109798304 is an abundant number, since it is smaller than the sum of its proper divisors (161815360).

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

109798304 is a wasteful number, since it uses less digits than its factorization.

109798304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 109798304 is about 10478.4685904000. The cubic root of 109798304 is about 478.8489549512.

The spelling of 109798304 in words is "one hundred nine million, seven hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 4051 6776 8102 13552 16204 27104 28357 32408 44561 56714 64816 89122 113428 129632 178244 226856 311927 356488 453712 490171 623854 712976 907424 980342 1247708 1425952 1960684 2495416 3431197 3921368 4990832 6862394 7842736 9981664 13724788 15685472 27449576 54899152 109798304