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109915380 = 22345193571
BaseRepresentation
bin1101000110100…
…10110011110100
321122211021120000
412203102303310
5211114243010
614523511300
72503160001
oct643226364
9248737500
10109915380
1157054063
1230988530
1319a059b3
14108528a8
1599b27c0
hex68d2cf4

109915380 has 120 divisors (see below), whose sum is σ = 363058080. Its totient is φ = 27760320.

The previous prime is 109915369. The next prime is 109915381. The reversal of 109915380 is 83519901.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109915381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28995 + ... + 32565.

It is an arithmetic number, because the mean of its divisors is an integer number (3025484).

Almost surely, 2109915380 is an apocalyptic number.

109915380 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 109915380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181529040).

109915380 is an abundant number, since it is smaller than the sum of its proper divisors (253142700).

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

109915380 is a wasteful number, since it uses less digits than its factorization.

109915380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 109915380 is about 10484.0536053570. The cubic root of 109915380 is about 479.0190905669.

The spelling of 109915380 in words is "one hundred nine million, nine hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 3571 5130 6156 7142 7695 10260 10713 14284 15390 17855 21426 30780 32139 35710 42852 53565 64278 67849 71420 96417 107130 128556 135698 160695 192834 203547 214260 271396 289251 321390 339245 385668 407094 482085 578502 610641 642780 678490 814188 964170 1017735 1157004 1221282 1356980 1446255 1831923 1928340 2035470 2442564 2892510 3053205 3663846 4070940 5495769 5785020 6106410 7327692 9159615 10991538 12212820 18319230 21983076 27478845 36638460 54957690 109915380