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109798416 = 2434731319
BaseRepresentation
bin1101000101101…
…10010000010000
321122121100010000
412202312100100
5211102022131
614521210000
72502162000
oct642662020
9248540100
10109798416
1156a841a2
1230930900
13199946a0
1410822000
15998cce6
hex68b6410

109798416 has 400 divisors, whose sum is σ = 420112000. Its totient is φ = 27433728.

The previous prime is 109798411. The next prime is 109798433. The reversal of 109798416 is 614897901.

It is a happy number.

It is a super-2 number, since 2×1097984162 = 24111384312218112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109798411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5778855 + ... + 5778873.

It is an arithmetic number, because the mean of its divisors is an integer number (1050280).

Almost surely, 2109798416 is an apocalyptic number.

109798416 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 109798416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210056000).

109798416 is an abundant number, since it is smaller than the sum of its proper divisors (310313584).

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

109798416 is a wasteful number, since it uses less digits than its factorization.

109798416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 109798416 is about 10478.4739346911. The cubic root of 109798416 is about 478.8491177681.

The spelling of 109798416 in words is "one hundred nine million, seven hundred ninety-eight thousand, four hundred sixteen".