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109448640 = 2632576189
BaseRepresentation
bin1101000011000…
…00110111000000
321121221120022100
412201200313000
5211004324030
614505510400
72466204150
oct641406700
9247846270
10109448640
1156865424
12307a2400
13198a1412
1410770760
15991e360
hex6860dc0

109448640 has 336 divisors, whose sum is σ = 442203840. Its totient is φ = 24330240.

The previous prime is 109448629. The next prime is 109448663. The reversal of 109448640 is 46844901.

It is a happy number.

109448640 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 109448595 and 109448604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229716 + ... + 1229804.

Almost surely, 2109448640 is an apocalyptic number.

109448640 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 109448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221101920).

109448640 is an abundant number, since it is smaller than the sum of its proper divisors (332755200).

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

109448640 is a wasteful number, since it uses less digits than its factorization.

109448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 109448640 is about 10461.7704046686. The cubic root of 109448640 is about 478.3400998070.

The spelling of 109448640 in words is "one hundred nine million, four hundred forty-eight thousand, six hundred forty".