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10695930 = 235731253
BaseRepresentation
bin101000110011…
…010011111010
3202010102001120
4220303103322
510214232210
61021130110
7156625320
oct50632372
922112046
1010695930
116046013
1236b9936
1322a656b
1415c5d10
15e14270
hexa334fa

10695930 has 96 divisors (see below), whose sum is σ = 30886272. Its totient is φ = 2321280.

The previous prime is 10695913. The next prime is 10695953. The reversal of 10695930 is 3959601.

It is a super-2 number, since 2×106959302 = 228805837129800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10695891 and 10695900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201784 + ... + 201836.

It is an arithmetic number, because the mean of its divisors is an integer number (321732).

Almost surely, 210695930 is an apocalyptic number.

10695930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10695930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443136).

10695930 is an abundant number, since it is smaller than the sum of its proper divisors (20190342).

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

10695930 is a wasteful number, since it uses less digits than its factorization.

10695930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 10695930 is about 3270.4632699359. The cubic root of 10695930 is about 220.3296023643.

The spelling of 10695930 in words is "ten million, six hundred ninety-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 53 62 70 93 105 106 155 159 186 210 217 265 310 318 371 434 465 530 651 742 795 930 961 1085 1113 1302 1590 1643 1855 1922 2170 2226 2883 3255 3286 3710 4805 4929 5565 5766 6510 6727 8215 9610 9858 11130 11501 13454 14415 16430 20181 23002 24645 28830 33635 34503 40362 49290 50933 57505 67270 69006 100905 101866 115010 152799 172515 201810 254665 305598 345030 356531 509330 713062 763995 1069593 1527990 1782655 2139186 3565310 5347965 10695930