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109363680 = 25325173439
BaseRepresentation
bin1101000010011…
…00000111100000
321121210020202200
412201030013200
5210444114210
614504013200
72465401356
oct641140740
9247706680
10109363680
1156807608
1230761200
131987184a
141074b7d6
1599040c0
hex684c1e0

109363680 has 144 divisors (see below), whose sum is σ = 376215840. Its totient is φ = 28929024.

The previous prime is 109363679. The next prime is 109363693. The reversal of 109363680 is 86363901.

It is a happy number.

109363680 is a `hidden beast` number, since 10 + 9 + 3 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248901 + ... + 249339.

It is an arithmetic number, because the mean of its divisors is an integer number (2612610).

Almost surely, 2109363680 is an apocalyptic number.

109363680 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 109363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188107920).

109363680 is an abundant number, since it is smaller than the sum of its proper divisors (266852160).

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

109363680 is a wasteful number, since it uses less digits than its factorization.

109363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 109363680 is about 10457.7091181578. The cubic root of 109363680 is about 478.2162965479.

The spelling of 109363680 in words is "one hundred nine million, three hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 173 180 240 288 346 360 439 480 519 692 720 865 878 1038 1317 1384 1440 1557 1730 1756 2076 2195 2595 2634 2768 3114 3460 3512 3951 4152 4390 5190 5268 5536 6228 6585 6920 7024 7785 7902 8304 8780 10380 10536 12456 13170 13840 14048 15570 15804 16608 17560 19755 20760 21072 24912 26340 27680 31140 31608 35120 39510 41520 42144 49824 52680 62280 63216 70240 75947 79020 83040 105360 124560 126432 151894 158040 210720 227841 249120 303788 316080 379735 455682 607576 632160 683523 759470 911364 1139205 1215152 1367046 1518940 1822728 2278410 2430304 2734092 3037880 3417615 3645456 4556820 5468184 6075760 6835230 7290912 9113640 10936368 12151520 13670460 18227280 21872736 27340920 36454560 54681840 109363680