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109939986 = 232131729953
BaseRepresentation
bin1101000110110…
…00110100010010
321122212112022100
412203120310102
5211121034421
614524221230
72503321512
oct643306422
9248775270
10109939986
11570705a2
123099a816
1319a13c60
141085b842
1599b9c26
hex68d8d12

109939986 has 96 divisors (see below), whose sum is σ = 281277360. Its totient is φ = 30707712.

The previous prime is 109939979. The next prime is 109939993. The reversal of 109939986 is 689939901.

It is an interprime number because it is at equal distance from previous prime (109939979) and next prime (109939993).

It can be written as a sum of positive squares in 8 ways, for example, as 46498761 + 63441225 = 6819^2 + 7965^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114886 + ... + 115838.

Almost surely, 2109939986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109939986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140638680).

109939986 is an abundant number, since it is smaller than the sum of its proper divisors (171337374).

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

109939986 is a wasteful number, since it uses less digits than its factorization.

109939986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 109939986 is about 10485.2270361686. The cubic root of 109939986 is about 479.0548328028.

The spelling of 109939986 in words is "one hundred nine million, nine hundred thirty-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 17 18 26 29 34 39 51 58 78 87 102 117 153 174 221 234 261 306 377 442 493 522 663 754 953 986 1131 1326 1479 1906 1989 2262 2859 2958 3393 3978 4437 5718 6409 6786 8577 8874 12389 12818 16201 17154 19227 24778 27637 32402 37167 38454 48603 55274 57681 74334 82911 97206 111501 115362 145809 165822 210613 223002 248733 291618 359281 421226 469829 497466 631839 718562 939658 1077843 1263678 1409487 1895517 2155686 2818974 3233529 3791034 4228461 6107777 6467058 8456922 12215554 18323331 36646662 54969993 109939986