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107704768 = 2619233851
BaseRepresentation
bin1100110101101…
…11000111000000
321111122222011111
412122313013000
5210033023033
614404253104
72445322033
oct632670700
9244588144
10107704768
1155884206
12300a1194
1319410742
141043901a
1596c77cd
hex66b71c0

107704768 has 56 divisors (see below), whose sum is σ = 234817920. Its totient is φ = 48787200.

The previous prime is 107704733. The next prime is 107704781. The reversal of 107704768 is 867407701.

It is a self number, because there is not a number n which added to its sum of digits gives 107704768.

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 7 ways as a sum of consecutive naturals, for example, 26043 + ... + 29893.

Almost surely, 2107704768 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 107704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117408960).

107704768 is an abundant number, since it is smaller than the sum of its proper divisors (127113152).

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

107704768 is a wasteful number, since it uses less digits than its factorization.

107704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 107704768 is about 10378.0907685373. The cubic root of 107704768 is about 475.7859829265.

The spelling of 107704768 in words is "one hundred seven million, seven hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 874 1216 1472 1748 3496 3851 6992 7702 13984 15404 27968 30808 61616 73169 88573 123232 146338 177146 246464 292676 354292 585352 708584 1170704 1417168 1682887 2341408 2834336 3365774 4682816 5668672 6731548 13463096 26926192 53852384 107704768