Search a number
-
+
102751580 = 225231391607
BaseRepresentation
bin1100001111111…
…01110101011100
321011100022200002
412013331311130
5202301022310
614110153432
72355242201
oct607756534
9234308602
10102751580
1153000868
122a4b2878
1318398069
14d909ca8
159049da5
hex61fdd5c

102751580 has 48 divisors (see below), whose sum is σ = 226920960. Its totient is φ = 39006528.

The previous prime is 102751567. The next prime is 102751591. The reversal of 102751580 is 85157201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63137 + ... + 64743.

It is an arithmetic number, because the mean of its divisors is an integer number (4727520).

Almost surely, 2102751580 is an apocalyptic number.

102751580 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 102751580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460480).

102751580 is an abundant number, since it is smaller than the sum of its proper divisors (124169380).

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

102751580 is a wasteful number, since it uses less digits than its factorization.

102751580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 102751580 is about 10136.6454017096. The cubic root of 102751580 is about 468.3776567882.

The spelling of 102751580 in words is "one hundred two million, seven hundred fifty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 139 230 278 460 556 695 1390 1607 2780 3197 3214 6394 6428 8035 12788 15985 16070 31970 32140 36961 63940 73922 147844 184805 223373 369610 446746 739220 893492 1116865 2233730 4467460 5137579 10275158 20550316 25687895 51375790 102751580