Search a number
-
+
18700146 = 234891297
BaseRepresentation
bin100011101010…
…1011101110010
31022012001210000
41013111131302
514241401041
61504450430
7314643243
oct107253562
938161700
1018700146
11a612773
126319a16
133b4989a
1426aacca
151995bb6
hex11d5772

18700146 has 40 divisors (see below), whose sum is σ = 42405660. Its totient is φ = 6158592.

The previous prime is 18700117. The next prime is 18700163. The reversal of 18700146 is 64100781.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17969121 + 731025 = 4239^2 + 855^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13770 + ... + 15066.

Almost surely, 218700146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18700146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21202830).

18700146 is an abundant number, since it is smaller than the sum of its proper divisors (23705514).

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

18700146 is a wasteful number, since it uses less digits than its factorization.

18700146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1391 counting only the distinct ones).

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

The square root of 18700146 is about 4324.3665432061. The cubic root of 18700146 is about 265.4289765017.

The spelling of 18700146 in words is "eighteen million, seven hundred thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1297 1602 2403 2594 3891 4806 7209 7782 11673 14418 23346 35019 70038 105057 115433 210114 230866 346299 692598 1038897 2077794 3116691 6233382 9350073 18700146