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75107682 = 23313971103
BaseRepresentation
bin1000111101000…
…00110101100010
312020022212101000
410132200311202
5123211421212
611241452430
71601255556
oct436406542
9166285330
1075107682
113943a571
12211a1116
1312739620
149d91866
1568d91dc
hex47a0d62

75107682 has 64 divisors (see below), whose sum is σ = 181762560. Its totient is φ = 22851072.

The previous prime is 75107657. The next prime is 75107689. The reversal of 75107682 is 28670157.

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

It is not an unprimeable number, because it can be changed into a prime (75107689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67543 + ... + 68645.

It is an arithmetic number, because the mean of its divisors is an integer number (2840040).

Almost surely, 275107682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75107682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90881280).

75107682 is an abundant number, since it is smaller than the sum of its proper divisors (106654878).

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

75107682 is a wasteful number, since it uses less digits than its factorization.

75107682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 75107682 is about 8666.4688310753. The cubic root of 75107682 is about 421.9180639497.

The spelling of 75107682 in words is "seventy-five million, one hundred seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 194 234 291 351 582 702 873 1103 1261 1746 2206 2522 2619 3309 3783 5238 6618 7566 9927 11349 14339 19854 22698 28678 29781 34047 43017 59562 68094 86034 106991 129051 213982 258102 320973 387153 641946 774306 962919 1390883 1925838 2781766 2888757 4172649 5777514 8345298 12517947 25035894 37553841 75107682