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109429056 = 26341119101
BaseRepresentation
bin1101000010111…
…00000101000000
321121220120110000
412201130011000
5211003212211
614505240000
72466063102
oct641340500
9247816400
10109429056
1156851740
1230793000
1319895529
1410767572
159918656
hex685c140

109429056 has 280 divisors, whose sum is σ = 376184160. Its totient is φ = 31104000.

The previous prime is 109429043. The next prime is 109429079. The reversal of 109429056 is 650924901.

It is a super-2 number, since 2×1094290562 = 23949436594102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 109429056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1083406 + ... + 1083506.

Almost surely, 2109429056 is an apocalyptic number.

109429056 is a gapful number since it is divisible by the number (16) 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 109429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188092080).

109429056 is an abundant number, since it is smaller than the sum of its proper divisors (266755104).

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

109429056 is a wasteful number, since it uses less digits than its factorization.

109429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 109429056 is about 10460.8343835470. The cubic root of 109429056 is about 478.3115677902.

The spelling of 109429056 in words is "one hundred nine million, four hundred twenty-nine thousand, fifty-six".