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107070040 = 23571134763
BaseRepresentation
bin1100110000111…
…00001001011000
321110110201111001
412120130021120
5204402220130
614342514344
72440036360
oct630341130
9243421431
10107070040
1155490340
122ba359b4
131924a86c
14103119a0
1595ee6ca
hex661c258

107070040 has 64 divisors (see below), whose sum is σ = 300360960. Its totient is φ = 33371520.

The previous prime is 107070011. The next prime is 107070107. The reversal of 107070040 is 40070701.

It is a super-2 number, since 2×1070700402 = 22927986931203200, 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, 14302 + ... + 20461.

It is an arithmetic number, because the mean of its divisors is an integer number (4693140).

Almost surely, 2107070040 is an apocalyptic number.

107070040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107070040 is an abundant number, since it is smaller than the sum of its proper divisors (193290920).

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

107070040 is a wasteful number, since it uses less digits than its factorization.

107070040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34792 (or 34788 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 107070040 is about 10347.4653901330. The cubic root of 107070040 is about 474.8495035691.

The spelling of 107070040 in words is "one hundred seven million, seventy thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 34763 69526 139052 173815 243341 278104 347630 382393 486682 695260 764786 973364 1216705 1390520 1529572 1911965 1946728 2433410 2676751 3059144 3823930 4866820 5353502 7647860 9733640 10707004 13383755 15295720 21414008 26767510 53535020 107070040