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107361450 = 2345272541
BaseRepresentation
bin1100110011000…
…11010010101010
321111000112020000
412121203102222
5204441031300
614353043430
72442362100
oct631432252
9244015200
10107361450
115566a279
122bb56576
13193203b1
1410389c70
15965ac00
hex66634aa

107361450 has 180 divisors, whose sum is σ = 347650182. Its totient is φ = 24494400.

The previous prime is 107361439. The next prime is 107361469. The reversal of 107361450 is 54163701.

It can be written as a sum of positive squares in 3 ways, for example, as 74494161 + 32867289 = 8631^2 + 5733^2 .

It is a super-2 number, since 2×1073614502 = 23052961892205000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 198180 + ... + 198720.

Almost surely, 2107361450 is an apocalyptic number.

107361450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107361450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173825091).

107361450 is an abundant number, since it is smaller than the sum of its proper divisors (240288732).

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

107361450 is a wasteful number, since it uses less digits than its factorization.

107361450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107361450 is about 10361.5370481411. The cubic root of 107361450 is about 475.2799088912.

The spelling of 107361450 in words is "one hundred seven million, three hundred sixty-one thousand, four hundred fifty".