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107220384 = 2532372293
BaseRepresentation
bin1100110010000…
…00110110100000
321110202100201100
412121000312200
5204422023014
614350034400
72441233605
oct631006640
9243670640
10107220384
1155583297
122baa8a00
13192a111b
14103506ac
15962e009
hex6640da0

107220384 has 36 divisors (see below), whose sum is σ = 304908786. Its totient is φ = 35740032.

The previous prime is 107220361. The next prime is 107220391. The reversal of 107220384 is 483022701.

It can be written as a sum of positive squares in only one way, i.e., 64448784 + 42771600 = 8028^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1072203842 = 22992421490214912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185859 + ... + 186434.

Almost surely, 2107220384 is an apocalyptic number.

It is an amenable number.

107220384 is an abundant number, since it is smaller than the sum of its proper divisors (197688402).

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

107220384 is a wasteful number, since it uses less digits than its factorization.

107220384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372309 (or 372298 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107220384 is about 10354.7276159250. The cubic root of 107220384 is about 475.0716553027.

The spelling of 107220384 in words is "one hundred seven million, two hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 372293 744586 1116879 1489172 2233758 2978344 3350637 4467516 5956688 6701274 8935032 11913376 13402548 17870064 26805096 35740128 53610192 107220384