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180070137 = 32131790533
BaseRepresentation
bin10101011101110…
…10011011111001
3110112211111210100
422232322123321
5332044221022
625511310013
74314366552
oct1256723371
9415744710
10180070137
11927103a5
125037b309
132b3c9aa0
1419cb5329
1510c1e1ac
hexabba6f9

180070137 has 24 divisors (see below), whose sum is σ = 296589384. Its totient is φ = 104292864.

The previous prime is 180070127. The next prime is 180070147. The reversal of 180070137 is 731070081.

It is an interprime number because it is at equal distance from previous prime (180070127) and next prime (180070147).

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 180069561 = 24^2 + 13419^2 .

It is not a de Polignac number, because 180070137 - 212 = 180066041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 180070137.

It is not an unprimeable number, because it can be changed into a prime (180070127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43278 + ... + 47255.

It is an arithmetic number, because the mean of its divisors is an integer number (12357891).

Almost surely, 2180070137 is an apocalyptic number.

180070137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

180070137 is a deficient number, since it is larger than the sum of its proper divisors (116519247).

180070137 is a wasteful number, since it uses less digits than its factorization.

180070137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90569 (or 90566 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 180070137 is about 13419.0214620888. The cubic root of 180070137 is about 564.6949427434.

The spelling of 180070137 in words is "one hundred eighty million, seventy thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 90533 271599 814797 1176929 1539061 3530787 4617183 10592361 13851549 20007793 60023379 180070137