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107377920 = 2833513239
BaseRepresentation
bin1100110011001…
…11010100000000
321111001100211000
412121213110000
5204442043140
614353252000
72442461106
oct631472400
9244040730
10107377920
1155680691
122bb64000
1319327a40
1410391c76
159660a30
hex6667500

107377920 has 288 divisors, whose sum is σ = 412070400. Its totient is φ = 26320896.

The previous prime is 107377913. The next prime is 107377927. The reversal of 107377920 is 29773701.

It is an interprime number because it is at equal distance from previous prime (107377913) and next prime (107377927).

It is a tau number, because it is divible by the number of its divisors (288).

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 (107377927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449161 + ... + 449399.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2107377920 is an apocalyptic number.

107377920 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 107377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206035200).

107377920 is an abundant number, since it is smaller than the sum of its proper divisors (304692480).

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

107377920 is a wasteful number, since it uses less digits than its factorization.

107377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 107377920 is about 10362.3317839181. The cubic root of 107377920 is about 475.3042114066.

The spelling of 107377920 in words is "one hundred seven million, three hundred seventy-seven thousand, nine hundred twenty".