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109722340 = 225713192167
BaseRepresentation
bin1101000101000…
…11101011100100
321122110110202101
412202203223210
5211042103330
614515421444
72501424130
oct642435344
9248413671
10109722340
1156a32022
12308b4884
1319968b80
14108023c0
1599754ca
hex68a3ae4

109722340 has 144 divisors (see below), whose sum is σ = 301093632. Its totient is φ = 32700672.

The previous prime is 109722329. The next prime is 109722367. The reversal of 109722340 is 43227901.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 109722299 and 109722308.

It is a congruent number.

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, 656937 + ... + 657103.

It is an arithmetic number, because the mean of its divisors is an integer number (2090928).

Almost surely, 2109722340 is an apocalyptic number.

109722340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109722340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150546816).

109722340 is an abundant number, since it is smaller than the sum of its proper divisors (191371292).

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

109722340 is a wasteful number, since it uses less digits than its factorization.

109722340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 109722340 is about 10474.8431969171. The cubic root of 109722340 is about 478.7384988613.

The spelling of 109722340 in words is "one hundred nine million, seven hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 167 182 190 247 260 266 334 361 364 380 455 494 532 665 668 722 835 910 988 1169 1235 1330 1444 1670 1729 1805 1820 2171 2338 2470 2527 2660 3173 3340 3458 3610 4342 4676 4693 4940 5054 5845 6346 6916 7220 8645 8684 9386 10108 10855 11690 12635 12692 15197 15865 17290 18772 21710 22211 23380 23465 25270 30394 31730 32851 34580 41249 43420 44422 46930 50540 60287 60788 63460 65702 75985 82498 88844 93860 111055 120574 131404 151970 164255 164996 206245 222110 241148 288743 301435 303940 328510 412490 422009 444220 577486 602870 657020 783731 824980 844018 1154972 1205740 1443715 1567462 1688036 2110045 2887430 3134924 3918655 4220090 5486117 5774860 7837310 8440180 10972234 15674620 21944468 27430585 54861170 109722340