Search a number
-
+
185129370 = 23252056993
BaseRepresentation
bin10110000100011…
…01100110011010
3110220100112202100
423002031212122
5334343114440
630211544230
74405400526
oct1302154632
9426315670
10185129370
1195556488
1251bbb076
132c47b80a
141a830d86
15113bd230
hexb08d99a

185129370 has 24 divisors (see below), whose sum is σ = 481336596. Its totient is φ = 49367808.

The previous prime is 185129363. The next prime is 185129377. The reversal of 185129370 is 73921581.

It is an interprime number because it is at equal distance from previous prime (185129363) and next prime (185129377).

It can be written as a sum of positive squares in 2 ways, for example, as 182007081 + 3122289 = 13491^2 + 1767^2 .

It is not an unprimeable number, because it can be changed into a prime (185129377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1028407 + ... + 1028586.

Almost surely, 2185129370 is an apocalyptic number.

185129370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

185129370 is an abundant number, since it is smaller than the sum of its proper divisors (296207226).

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

185129370 is a wasteful number, since it uses less digits than its factorization.

185129370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057006 (or 2057003 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 185129370 is about 13606.2254133907. The cubic root of 185129370 is about 569.9347108968.

The spelling of 185129370 in words is "one hundred eighty-five million, one hundred twenty-nine thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2056993 4113986 6170979 10284965 12341958 18512937 20569930 30854895 37025874 61709790 92564685 185129370