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107620040 = 23511277883
BaseRepresentation
bin1100110101000…
…10011011001000
321111111122221102
412122202123020
5210022320130
614402400532
72444520023
oct632423310
9244448842
10107620040
1155826590
1230060148
13193b0cc8
14104161ba
1596ac645
hex66a26c8

107620040 has 64 divisors (see below), whose sum is σ = 265412160. Its totient is φ = 38949120.

The previous prime is 107620033. The next prime is 107620049. The reversal of 107620040 is 40026701.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 107619994 and 107620021.

It is not an unprimeable number, because it can be changed into a prime (107620049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121439 + ... + 122321.

It is an arithmetic number, because the mean of its divisors is an integer number (4147065).

Almost surely, 2107620040 is an apocalyptic number.

107620040 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 107620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132706080).

107620040 is an abundant number, since it is smaller than the sum of its proper divisors (157792120).

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

107620040 is a wasteful number, since it uses less digits than its factorization.

107620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 107620040 is about 10374.0079043733. The cubic root of 107620040 is about 475.6611881721.

Adding to 107620040 its reverse (40026701), we get a palindrome (147646741).

The spelling of 107620040 in words is "one hundred seven million, six hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 277 440 554 883 1108 1385 1766 2216 2770 3047 3532 4415 5540 6094 7064 8830 9713 11080 12188 15235 17660 19426 24376 30470 35320 38852 48565 60940 77704 97130 121880 194260 244591 388520 489182 978364 1222955 1956728 2445910 2690501 4891820 5381002 9783640 10762004 13452505 21524008 26905010 53810020 107620040