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107415060 = 223523277281
BaseRepresentation
bin1100110011100…
…00011000010100
321111010020202120
412121300120110
5204444240220
614354135540
72443004304
oct631603024
9244106676
10107415060
11556a6585
122bb815b0
131933b90c
14103a1604
15966ba40
hex6670614

107415060 has 96 divisors (see below), whose sum is σ = 316092672. Its totient is φ = 27202560.

The previous prime is 107415041. The next prime is 107415067. The reversal of 107415060 is 60514701.

It is a super-2 number, since 2×1074150602 = 23075990229607200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107415060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107415067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382120 + ... + 382400.

It is an arithmetic number, because the mean of its divisors is an integer number (3292632).

Almost surely, 2107415060 is an apocalyptic number.

107415060 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 107415060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158046336).

107415060 is an abundant number, since it is smaller than the sum of its proper divisors (208677612).

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

107415060 is a wasteful number, since it uses less digits than its factorization.

107415060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 107415060 is about 10364.1236966760. The cubic root of 107415060 is about 475.3590046811.

Adding to 107415060 its reverse (60514701), we get a palindrome (167929761).

The spelling of 107415060 in words is "one hundred seven million, four hundred fifteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 277 281 345 460 554 562 690 831 843 1108 1124 1380 1385 1405 1662 1686 2770 2810 3324 3372 4155 4215 5540 5620 6371 6463 8310 8430 12742 12926 16620 16860 19113 19389 25484 25852 31855 32315 38226 38778 63710 64630 76452 77556 77837 95565 96945 127420 129260 155674 191130 193890 233511 311348 382260 387780 389185 467022 778370 934044 1167555 1556740 1790251 2335110 3580502 4670220 5370753 7161004 8951255 10741506 17902510 21483012 26853765 35805020 53707530 107415060