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107143830 = 23351013929
BaseRepresentation
bin1100110001011…
…10001010010110
321110121110201000
412120232022112
5204412100310
614344244130
72440464453
oct630561226
9243543630
10107143830
1155530822
122ba70646
1319275321
141033082a
1596164c0
hex662e296

107143830 has 64 divisors (see below), whose sum is σ = 288619200. Its totient is φ = 28281600.

The previous prime is 107143819. The next prime is 107143853. The reversal of 107143830 is 38341701.

It is a super-2 number, since 2×1071438302 = 22959600614137800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107143794 and 107143803.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 25306 + ... + 29234.

It is an arithmetic number, because the mean of its divisors is an integer number (4509675).

Almost surely, 2107143830 is an apocalyptic number.

107143830 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 107143830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144309600).

107143830 is an abundant number, since it is smaller than the sum of its proper divisors (181475370).

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

107143830 is a wasteful number, since it uses less digits than its factorization.

107143830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107143830 is about 10351.0303834932. The cubic root of 107143830 is about 474.9585633290.

The spelling of 107143830 in words is "one hundred seven million, one hundred forty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1818 2727 3030 3929 4545 5454 7858 9090 11787 13635 19645 23574 27270 35361 39290 58935 70722 106083 117870 176805 212166 353610 396829 530415 793658 1060830 1190487 1984145 2380974 3571461 3968290 5952435 7142922 10714383 11904870 17857305 21428766 35714610 53571915 107143830