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107673768 = 23321495469
BaseRepresentation
bin1100110101011…
…11100010101000
321111121101122100
412122233202220
5210031030033
614403453400
72445132456
oct632574250
9244541570
10107673768
1155862994
1230087260
13193cc5b7
141042b9d6
1596bd513
hex66af8a8

107673768 has 24 divisors (see below), whose sum is σ = 291616650. Its totient is φ = 35891232.

The previous prime is 107673743. The next prime is 107673791. The reversal of 107673768 is 867376701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 106131204 + 1542564 = 10302^2 + 1242^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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, 747663 + ... + 747806.

Almost surely, 2107673768 is an apocalyptic number.

107673768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107673768 is an abundant number, since it is smaller than the sum of its proper divisors (183942882).

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

107673768 is a wasteful number, since it uses less digits than its factorization.

107673768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495481 (or 1495474 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 107673768 is about 10376.5971300807. The cubic root of 107673768 is about 475.7403310300.

It can be divided in two parts, 10767 and 3768, that added together give a triangular number (14535 = T170).

The spelling of 107673768 in words is "one hundred seven million, six hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1495469 2990938 4486407 5981876 8972814 11963752 13459221 17945628 26918442 35891256 53836884 107673768