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107430912 = 2103211657
BaseRepresentation
bin1100110011101…
…00010000000000
321111011001111200
412121310100000
5210000242122
614354341200
72443101441
oct631642000
9244131450
10107430912
1155707486
122bb8a800
1319345bb4
14103a72c8
1596715ac
hex6674400

107430912 has 66 divisors (see below), whose sum is σ = 310231038. Its totient is φ = 35807232.

The previous prime is 107430893. The next prime is 107430923. The reversal of 107430912 is 219034701.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 7750656 = 9984^2 + 2784^2 .

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, 3388 + ... + 15044.

Almost surely, 2107430912 is an apocalyptic number.

107430912 is a gapful number since it is divisible by the number (12) 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 107430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155115519).

107430912 is an abundant number, since it is smaller than the sum of its proper divisors (202800126).

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

107430912 is a wasteful number, since it uses less digits than its factorization.

107430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683 (or 11662 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107430912 is about 10364.8884219754. Note that the first 3 decimals coincide. The cubic root of 107430912 is about 475.3823875608.

The spelling of 107430912 in words is "one hundred seven million, four hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 11657 23314 34971 46628 69942 93256 104913 139884 186512 209826 279768 373024 419652 559536 746048 839304 1119072 1492096 1678608 2238144 2984192 3357216 4476288 5968384 6714432 8952576 11936768 13428864 17905152 26857728 35810304 53715456 107430912