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109682440 = 23571953389
BaseRepresentation
bin1101000100110…
…01111100001000
321122101110000121
412202121330020
5211034314230
614514513024
72501166610
oct642317410
9248343017
10109682440
1156a0504a
1230895774
131995396a
14107d1a40
15996877a
hex6899f08

109682440 has 128 divisors (see below), whose sum is σ = 303264000. Its totient is φ = 34864128.

The previous prime is 109682413. The next prime is 109682471. The reversal of 109682440 is 44286901.

It is a junction number, because it is equal to n+sod(n) for n = 109682396 and 109682405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281766 + ... + 282154.

It is an arithmetic number, because the mean of its divisors is an integer number (2369250).

Almost surely, 2109682440 is an apocalyptic number.

109682440 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 109682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151632000).

109682440 is an abundant number, since it is smaller than the sum of its proper divisors (193581560).

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

109682440 is a wasteful number, since it uses less digits than its factorization.

109682440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 109682440 is about 10472.9384606232. The cubic root of 109682440 is about 478.6804615100.

The spelling of 109682440 in words is "one hundred nine million, six hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 53 56 70 76 95 106 133 140 152 190 212 265 266 280 371 380 389 424 530 532 665 742 760 778 1007 1060 1064 1330 1484 1556 1855 1945 2014 2120 2660 2723 2968 3112 3710 3890 4028 5035 5320 5446 7049 7391 7420 7780 8056 10070 10892 13615 14098 14782 14840 15560 20140 20617 21784 27230 28196 29564 35245 36955 40280 41234 51737 54460 56392 59128 70490 73910 82468 103085 103474 108920 140980 144319 147820 164936 206170 206948 258685 281960 288638 295640 391723 412340 413896 517370 577276 721595 783446 824680 1034740 1154552 1443190 1566892 1958615 2069480 2742061 2886380 3133784 3917230 5484122 5772760 7834460 10968244 13710305 15668920 21936488 27420610 54841220 109682440