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107070744 = 23311431941
BaseRepresentation
bin1100110000111…
…00010100011000
321110110202110010
412120130110120
5204402230434
614342521520
72440041414
oct630342430
9243422403
10107070744
1155490920
122ba362a0
131924ac91
1410311d44
1595ee9e9
hex661c518

107070744 has 64 divisors (see below), whose sum is σ = 292999680. Its totient is φ = 32336000.

The previous prime is 107070707. The next prime is 107070767. The reversal of 107070744 is 447070701.

It is a super-2 number, since 2×1070707442 = 22928288441427072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113314 + ... + 114254.

It is an arithmetic number, because the mean of its divisors is an integer number (4578120).

Almost surely, 2107070744 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 107070744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146499840).

107070744 is an abundant number, since it is smaller than the sum of its proper divisors (185928936).

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

107070744 is a wasteful number, since it uses less digits than its factorization.

107070744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 107070744 is about 10347.4994080696. The cubic root of 107070744 is about 474.8505443001.

The spelling of 107070744 in words is "one hundred seven million, seventy thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 431 862 941 1293 1724 1882 2586 2823 3448 3764 4741 5172 5646 7528 9482 10344 10351 11292 14223 18964 20702 22584 28446 31053 37928 41404 56892 62106 82808 113784 124212 248424 405571 811142 1216713 1622284 2433426 3244568 4461281 4866852 8922562 9733704 13383843 17845124 26767686 35690248 53535372 107070744