Search a number
-
+
109692630 = 236541367
BaseRepresentation
bin1101000100111…
…00011011010110
321122101222000000
412202130123112
5211040131010
614515032130
72501241405
oct642343326
9248358000
10109692630
1156a11773
123089b646
13199584a8
14107d563c
15996b7c0
hex689c6d6

109692630 has 112 divisors (see below), whose sum is σ = 304081344. Its totient is φ = 28460160.

The previous prime is 109692533. The next prime is 109692641. The reversal of 109692630 is 36296901.

109692630 is a `hidden beast` number, since 10 + 9 + 6 + 9 + 2 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 298707 + ... + 299073.

It is an arithmetic number, because the mean of its divisors is an integer number (2715012).

Almost surely, 2109692630 is an apocalyptic number.

109692630 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 109692630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152040672).

109692630 is an abundant number, since it is smaller than the sum of its proper divisors (194388714).

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

109692630 is an equidigital number, since it uses as much as digits as its factorization.

109692630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 109692630 is about 10473.4249412501. The cubic root of 109692630 is about 478.6952849186.

The spelling of 109692630 in words is "one hundred nine million, six hundred ninety-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 367 369 405 410 486 615 729 734 738 810 1101 1107 1215 1230 1458 1835 1845 2202 2214 2430 3303 3321 3645 3670 3690 5505 5535 6606 6642 7290 9909 9963 11010 11070 15047 16515 16605 19818 19926 29727 29889 30094 33030 33210 45141 49545 49815 59454 59778 75235 89181 90282 99090 99630 135423 148635 149445 150470 178362 225705 267543 270846 297270 298890 406269 445905 451410 535086 677115 812538 891810 1218807 1337715 1354230 2031345 2437614 2675430 3656421 4062690 6094035 7312842 10969263 12188070 18282105 21938526 36564210 54846315 109692630