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107789660 = 2251119107241
BaseRepresentation
bin1100110110010…
…11110101011100
321111211021121122
412123023311130
5210043232120
614410150112
72446124366
oct633136534
9244737548
10107789660
1155931a70
1230122338
1319440284
141045bd36
1596e2a25
hex66cbd5c

107789660 has 96 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 36633600.

The previous prime is 107789611. The next prime is 107789681. The reversal of 107789660 is 66987701.

It is a super-2 number, since 2×1077896602 = 23237221605831200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 447140 + ... + 447380.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2107789660 is an apocalyptic number.

107789660 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 107789660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

107789660 is an abundant number, since it is smaller than the sum of its proper divisors (155661220).

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

107789660 is a wasteful number, since it uses less digits than its factorization.

107789660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 107789660 is about 10382.1799252373. The cubic root of 107789660 is about 475.9109536134.

The spelling of 107789660 in words is "one hundred seven million, seven hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 107 110 190 209 214 220 241 380 418 428 482 535 836 964 1045 1070 1177 1205 2033 2090 2140 2354 2410 2651 4066 4180 4579 4708 4820 5302 5885 8132 9158 10165 10604 11770 13255 18316 20330 22363 22895 23540 25787 26510 40660 44726 45790 50369 51574 53020 89452 91580 100738 103148 111815 128935 201476 223630 251845 257870 283657 447260 489953 503690 515740 567314 979906 1007380 1134628 1418285 1959812 2449765 2836570 4899530 5389483 5673140 9799060 10778966 21557932 26947415 53894830 107789660