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109799984 = 2472433257
BaseRepresentation
bin1101000101101…
…10101000110000
321122121102021002
412202312220300
5211102044414
614521221132
72502166400
oct642665060
9248542232
10109799984
1156a85398
12309317a8
1319995308
1410822800
15998d4de
hex68b6a30

109799984 has 60 divisors (see below), whose sum is σ = 253302984. Its totient is φ = 45948672.

The previous prime is 109799981. The next prime is 109800001. The reversal of 109799984 is 489997901.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (109799981) 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, 32084 + ... + 35340.

Almost surely, 2109799984 is an apocalyptic number.

109799984 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 109799984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126651492).

109799984 is an abundant number, since it is smaller than the sum of its proper divisors (143503000).

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

109799984 is a wasteful number, since it uses less digits than its factorization.

109799984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 56.

The square root of 109799984 is about 10478.5487544793. The cubic root of 109799984 is about 478.8513971933.

The spelling of 109799984 in words is "one hundred nine million, seven hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 602 688 784 1204 2107 2408 3257 4214 4816 6514 8428 13028 16856 22799 26056 33712 45598 52112 91196 140051 159593 182392 280102 319186 364784 560204 638372 980357 1120408 1276744 1960714 2240816 2553488 3921428 6862499 7842856 13724998 15685712 27449996 54899992 109799984