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107229456 = 2432744649
BaseRepresentation
bin1100110010000…
…11000100010000
321110202211011100
412121003010100
5204422320311
614350144400
72441302215
oct631030420
9243684140
10107229456
115558a094
122bab2100
13192a52a9
1410353b0c
159631a56
hex6643110

107229456 has 30 divisors (see below), whose sum is σ = 300093950. Its totient is φ = 35743104.

The previous prime is 107229439. The next prime is 107229461. The reversal of 107229456 is 654922701.

It can be written as a sum of positive squares in only one way, i.e., 75690000 + 31539456 = 8700^2 + 5616^2 .

It is a super-2 number, since 2×1072294562 = 22996312468111872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 107229456.

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, 372181 + ... + 372468.

Almost surely, 2107229456 is an apocalyptic number.

107229456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107229456 is an abundant number, since it is smaller than the sum of its proper divisors (192864494).

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

107229456 is a wasteful number, since it uses less digits than its factorization.

107229456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744663 (or 744654 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 107229456 is about 10355.1656674338. The cubic root of 107229456 is about 475.0850536521.

The spelling of 107229456 in words is "one hundred seven million, two hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 744649 1489298 2233947 2978596 4467894 5957192 6701841 8935788 11914384 13403682 17871576 26807364 35743152 53614728 107229456