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109699920 = 243851119
BaseRepresentation
bin1101000100111…
…10001101010000
321122102100000000
412202132031100
5211040344140
614515130000
72501301561
oct642361520
9248370000
10109699920
1156a171a0
12308a3900
131995b8c5
14107d8168
15996da30
hex689e350

109699920 has 360 divisors, whose sum is σ = 439302240. Its totient is φ = 25194240.

The previous prime is 109699913. The next prime is 109699921. The reversal of 109699920 is 29996901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109699921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5773671 + ... + 5773689.

It is an arithmetic number, because the mean of its divisors is an integer number (1220284).

Almost surely, 2109699920 is an apocalyptic number.

109699920 is a gapful number since it is divisible by the number (10) 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 109699920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219651120).

109699920 is an abundant number, since it is smaller than the sum of its proper divisors (329602320).

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

109699920 is an equidigital number, since it uses as much as digits as its factorization.

109699920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 109699920 is about 10473.7729591585. The cubic root of 109699920 is about 478.7058891294.

The spelling of 109699920 in words is "one hundred nine million, six hundred ninety-nine thousand, nine hundred twenty".