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7102850040 = 233351121337113
BaseRepresentation
bin1101001110101110…
…01110001111111000
3200100000021011112000
412213113032033320
5104021312200130
63132450421000
7341005141416
oct64727161770
920300234460
107102850040
113015412400
121462891760
13892706a60
144b54902b6
152b8883260
hex1a75ce3f8

7102850040 has 768 divisors, whose sum is σ = 29038262400. Its totient is φ = 1532805120.

The previous prime is 7102850033. The next prime is 7102850057. The reversal of 7102850040 is 400582017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 7102849986 and 7102850013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62857024 + ... + 62857136.

Almost surely, 27102850040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7102850040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519131200).

7102850040 is an abundant number, since it is smaller than the sum of its proper divisors (21935412360).

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

7102850040 is a wasteful number, since it uses less digits than its factorization.

7102850040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7102850040 is about 84278.4079109234. The cubic root of 7102850040 is about 1922.2544806394.

The spelling of 7102850040 in words is "seven billion, one hundred two million, eight hundred fifty thousand, forty".