Search a number
-
+
18315700 = 22521373193
BaseRepresentation
bin100010111011…
…1100110110100
31021110112102021
41011313212310
514142100300
61452322524
7311452354
oct105674664
937415367
1018315700
11a37a947
126173444
133a438c0
14260ab64
15191bd1a
hex11779b4

18315700 has 72 divisors (see below), whose sum is σ = 43613528. Its totient is φ = 6635520.

The previous prime is 18315697. The next prime is 18315727. The reversal of 18315700 is 751381.

It can be written as a sum of positive squares in 12 ways, for example, as 9998244 + 8317456 = 3162^2 + 2884^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94804 + ... + 94996.

Almost surely, 218315700 is an apocalyptic number.

18315700 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 18315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21806764).

18315700 is an abundant number, since it is smaller than the sum of its proper divisors (25297828).

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

18315700 is a wasteful number, since it uses less digits than its factorization.

18315700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 18315700 is about 4279.6845678157. The cubic root of 18315700 is about 263.5974312848.

The spelling of 18315700 in words is "eighteen million, three hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 193 260 292 325 365 386 650 730 772 949 965 1300 1460 1825 1898 1930 2509 3650 3796 3860 4745 4825 5018 7300 9490 9650 10036 12545 14089 18980 19300 23725 25090 28178 47450 50180 56356 62725 70445 94900 125450 140890 183157 250900 281780 352225 366314 704450 732628 915785 1408900 1831570 3663140 4578925 9157850 18315700