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107216944 = 2429269859
BaseRepresentation
bin1100110010000…
…00000000110000
321110202011222221
412121000000300
5204421420234
614350010424
72441220562
oct631000060
9243664887
10107216944
115558074a
122baa6a14
131929c6a3
141034d332
15962ceb4
hex6640030

107216944 has 40 divisors (see below), whose sum is σ = 215946000. Its totient is φ = 51507456.

The previous prime is 107216929. The next prime is 107216953. The reversal of 107216944 is 449612701.

It is a super-2 number, since 2×1072169442 = 22990946161398272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124387 + ... + 125245.

It is an arithmetic number, because the mean of its divisors is an integer number (5398650).

Almost surely, 2107216944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107216944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107973000).

107216944 is an abundant number, since it is smaller than the sum of its proper divisors (108729056).

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

107216944 is a wasteful number, since it uses less digits than its factorization.

107216944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 107216944 is about 10354.5615068915. The cubic root of 107216944 is about 475.0665746022.

The spelling of 107216944 in words is "one hundred seven million, two hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 269 464 538 859 1076 1718 2152 3436 4304 6872 7801 13744 15602 24911 31204 49822 62408 99644 124816 199288 231071 398576 462142 924284 1848568 3697136 6701059 13402118 26804236 53608472 107216944