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109426464 = 2534737163
BaseRepresentation
bin1101000010110…
…11011100100000
321121220102220000
412201123130200
5211003121324
614505220000
72466052410
oct641333440
9247812800
10109426464
115684a7a4
1230791600
13198942b4
1410766640
1599179c9
hex685b720

109426464 has 240 divisors, whose sum is σ = 380052288. Its totient is φ = 30233088.

The previous prime is 109426411. The next prime is 109426469. The reversal of 109426464 is 464624901.

109426464 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 2 + 646 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109426469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671247 + ... + 671409.

Almost surely, 2109426464 is an apocalyptic number.

109426464 is a gapful number since it is divisible by the number (14) 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 109426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190026144).

109426464 is an abundant number, since it is smaller than the sum of its proper divisors (270625824).

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

109426464 is a wasteful number, since it uses less digits than its factorization.

109426464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 109426464 is about 10460.7104921224. The cubic root of 109426464 is about 478.3077912388.

The spelling of 109426464 in words is "one hundred nine million, four hundred twenty-six thousand, four hundred sixty-four".