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107069634 = 23371911483
BaseRepresentation
bin1100110000111…
…00000011000010
321110110200221000
412120130003002
5204402212014
614342512430
72440035240
oct630340302
9243420830
10107069634
1155490001
122ba35716
131924a619
1410311790
1595ee509
hex661c0c2

107069634 has 64 divisors (see below), whose sum is σ = 273530880. Its totient is φ = 30410640.

The previous prime is 107069609. The next prime is 107069639. The reversal of 107069634 is 436960701.

107069634 is a `hidden beast` number, since 10 + 7 + 0 + 6 + 9 + 634 = 666.

It is a super-2 number, since 2×1070696342 = 22927813049787912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107069639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71457 + ... + 72939.

It is an arithmetic number, because the mean of its divisors is an integer number (4273920).

Almost surely, 2107069634 is an apocalyptic number.

107069634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107069634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136765440).

107069634 is an abundant number, since it is smaller than the sum of its proper divisors (166461246).

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

107069634 is a wasteful number, since it uses less digits than its factorization.

107069634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 107069634 is about 10347.4457717835. The cubic root of 107069634 is about 474.8489033727.

The spelling of 107069634 in words is "one hundred seven million, sixty-nine thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 191 378 382 573 1146 1337 1483 1719 2674 2966 3438 4011 4449 5157 8022 8898 10314 10381 12033 13347 20762 24066 26694 31143 36099 40041 62286 72198 80082 93429 186858 280287 283253 560574 566506 849759 1699518 1982771 2549277 3965542 5098554 5948313 7647831 11896626 15295662 17844939 35689878 53534817 107069634