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107378748 = 223210972719
BaseRepresentation
bin1100110011001…
…11100000111100
321111001101221200
412121213200330
5204442104443
614353255500
72442463401
oct631474074
9244041850
10107378748
1155681274
122bb64590
1319328229
14103922a8
159660dd3
hex666783c

107378748 has 36 divisors (see below), whose sum is σ = 271776960. Its totient is φ = 35747136.

The previous prime is 107378741. The next prime is 107378753. The reversal of 107378748 is 847873701.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107378741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38133 + ... + 40851.

It is an arithmetic number, because the mean of its divisors is an integer number (7549360).

Almost surely, 2107378748 is an apocalyptic number.

107378748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107378748 is an abundant number, since it is smaller than the sum of its proper divisors (164398212).

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

107378748 is a wasteful number, since it uses less digits than its factorization.

107378748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 107378748 is about 10362.3717362388. The cubic root of 107378748 is about 475.3054331068.

The spelling of 107378748 in words is "one hundred seven million, three hundred seventy-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1097 2194 2719 3291 4388 5438 6582 8157 9873 10876 13164 16314 19746 24471 32628 39492 48942 97884 2982743 5965486 8948229 11930972 17896458 26844687 35792916 53689374 107378748