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18195268 = 22721337193
BaseRepresentation
bin100010101101…
…0001101000100
31021020102012211
41011122031010
514124222033
61445553204
7310441300
oct105321504
937212184
1018195268
11a2a8413
126115804
133a00b40
1425b8d00
1518e62cd
hex115a344

18195268 has 72 divisors (see below), whose sum is σ = 41179992. Its totient is φ = 6967296.

The previous prime is 18195227. The next prime is 18195269. The reversal of 18195268 is 86259181.

It can be written as a sum of positive squares in 4 ways, for example, as 1483524 + 16711744 = 1218^2 + 4088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18195268.

It is not an unprimeable number, because it can be changed into a prime (18195269) 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, 94180 + ... + 94372.

Almost surely, 218195268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18195268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589996).

18195268 is an abundant number, since it is smaller than the sum of its proper divisors (22984724).

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

18195268 is a wasteful number, since it uses less digits than its factorization.

18195268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 34560, while the sum is 40.

The square root of 18195268 is about 4265.5911665325. The cubic root of 18195268 is about 263.0184125476.

The spelling of 18195268 in words is "eighteen million, one hundred ninety-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 74 91 98 148 182 193 196 259 364 386 481 518 637 772 962 1036 1274 1351 1813 1924 2509 2548 2702 3367 3626 5018 5404 6734 7141 7252 9457 10036 13468 14282 17563 18914 23569 28564 35126 37828 47138 49987 70252 92833 94276 99974 122941 185666 199948 245882 349909 371332 491764 649831 699818 1299662 1399636 2599324 4548817 9097634 18195268