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109196640 = 25335723157
BaseRepresentation
bin1101000001000…
…11010101100000
321121110202122000
412200203111200
5210423243030
614500244000
72464104360
oct640432540
9247422560
10109196640
1156703063
12306a0600
13198137c7
14107069a0
1598be860
hex6823560

109196640 has 384 divisors, whose sum is σ = 458680320. Its totient is φ = 23721984.

The previous prime is 109196639. The next prime is 109196641. The reversal of 109196640 is 46691901.

109196640 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 9 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (109196639) and next prime (109196641).

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

It is a junction number, because it is equal to n+sod(n) for n = 109196595 and 109196604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109196641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695442 + ... + 695598.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 2109196640 is an apocalyptic number.

109196640 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 109196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229340160).

109196640 is an abundant number, since it is smaller than the sum of its proper divisors (349483680).

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

109196640 is a wasteful number, since it uses less digits than its factorization.

109196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109196640 is about 10449.7196134633. The cubic root of 109196640 is about 477.9726996657.

The spelling of 109196640 in words is "one hundred nine million, one hundred ninety-six thousand, six hundred forty".