Search a number
-
+
2701680102 = 2331119123813
BaseRepresentation
bin1010000100001000…
…0101110111100110
320222021200120101000
42201002011313212
521013112230402
61124030214130
7123643621242
oct24102056746
96867616330
102701680102
111167034280
12634954346
133409543a4
141b8b4d422
1510c2b7c1c
hexa1085de6

2701680102 has 64 divisors (see below), whose sum is σ = 6584094720. Its totient is φ = 814370400.

The previous prime is 2701680089. The next prime is 2701680109. The reversal of 2701680102 is 2010861072.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2701680109) 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, 101548 + ... + 125360.

It is an arithmetic number, because the mean of its divisors is an integer number (102876480).

Almost surely, 22701680102 is an apocalyptic number.

2701680102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2701680102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292047360).

2701680102 is an abundant number, since it is smaller than the sum of its proper divisors (3882414618).

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

2701680102 is a wasteful number, since it uses less digits than its factorization.

2701680102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24026 (or 24020 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2701680102 is about 51977.6885018947. The cubic root of 2701680102 is about 1392.7654177027.

The spelling of 2701680102 in words is "two billion, seven hundred one million, six hundred eighty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 191 198 297 382 573 594 1146 1719 2101 3438 4202 5157 6303 10314 12606 18909 23813 37818 47626 56727 71439 113454 142878 214317 261943 428634 523886 642951 785829 1285902 1571658 2357487 4548283 4714974 7072461 9096566 13644849 14144922 27289698 40934547 50031113 81869094 100062226 122803641 150093339 245607282 300186678 450280017 900560034 1350840051 2701680102