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107023420 = 22572113623
BaseRepresentation
bin1100110000100…
…00110000111100
321110101100112101
412120100300330
5204344222140
614341514444
72436453430
oct630206074
9243340471
10107023420
1155459309
122ba12a24
131923258a
14102dc9c0
1595e099a
hex6610c3c

107023420 has 48 divisors (see below), whose sum is σ = 258144768. Its totient is φ = 36509760.

The previous prime is 107023403. The next prime is 107023421. The reversal of 107023420 is 24320701.

It is a super-2 number, since 2×1070234202 = 22908024856992800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107023421) 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 15 ways as a sum of consecutive naturals, for example, 27729 + ... + 31351.

It is an arithmetic number, because the mean of its divisors is an integer number (5378016).

Almost surely, 2107023420 is an apocalyptic number.

107023420 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 107023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129072384).

107023420 is an abundant number, since it is smaller than the sum of its proper divisors (151121348).

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

107023420 is a wasteful number, since it uses less digits than its factorization.

107023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 107023420 is about 10345.2124192788. The cubic root of 107023420 is about 474.7805745527.

The spelling of 107023420 in words is "one hundred seven million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 844 1055 1477 2110 2954 3623 4220 5908 7246 7385 14492 14770 18115 25361 29540 36230 50722 72460 101444 126805 253610 507220 764453 1528906 3057812 3822265 5351171 7644530 10702342 15289060 21404684 26755855 53511710 107023420