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107474688 = 28347173
BaseRepresentation
bin1100110011111…
…10111100000000
321111020021120000
412121332330000
5210003142223
614355320000
72443343166
oct631767400
9244207500
10107474688
1155737362
122bbb0000
131935cab9
14103b9236
15967e543
hex667ef00

107474688 has 180 divisors, whose sum is σ = 329435568. Its totient is φ = 34836480.

The previous prime is 107474683. The next prime is 107474753. The reversal of 107474688 is 886474701.

It is a Cunningham number, because it is equal to 103672-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107474683) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1472220 + ... + 1472292.

Almost surely, 2107474688 is an apocalyptic number.

107474688 is a gapful number since it is divisible by the number (18) 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 107474688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164717784).

107474688 is an abundant number, since it is smaller than the sum of its proper divisors (221960880).

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

107474688 is an frugal number, since it uses more digits than its factorization.

107474688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 107474688 is about 10366.9999517700. Note that the first 4 decimals coincide. The cubic root of 107474688 is about 475.4469484743.

The spelling of 107474688 in words is "one hundred seven million, four hundred seventy-four thousand, six hundred eighty-eight".