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18356130 = 23251329541
BaseRepresentation
bin100011000000…
…1011110100010
31021112120212200
41012001132202
514144344010
61453234030
7312011262
oct106013642
937476780
1018356130
11a3a8261
126192916
133a59120
14261b7a2
151928cc0
hex11817a2

18356130 has 96 divisors (see below), whose sum is σ = 53267760. Its totient is φ = 4354560.

The previous prime is 18356119. The next prime is 18356131. The reversal of 18356130 is 3165381.

18356130 is a `hidden beast` number, since 18 + 35 + 613 + 0 = 666.

18356130 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 3908529 + 14447601 = 1977^2 + 3801^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18356094 and 18356103.

It is not an unprimeable number, because it can be changed into a prime (18356131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33660 + ... + 34200.

Almost surely, 218356130 is an apocalyptic number.

18356130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18356130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26633880).

18356130 is an abundant number, since it is smaller than the sum of its proper divisors (34911630).

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

18356130 is a wasteful number, since it uses less digits than its factorization.

18356130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 18356130 is about 4284.4054429991. The cubic root of 18356130 is about 263.7912433725.

The spelling of 18356130 in words is "eighteen million, three hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 541 585 754 870 1082 1131 1170 1305 1623 1885 2262 2610 2705 3246 3393 3770 4869 5410 5655 6786 7033 8115 9738 11310 14066 15689 16230 16965 21099 24345 31378 33930 35165 42198 47067 48690 63297 70330 78445 94134 105495 126594 141201 156890 203957 210990 235335 282402 316485 407914 470670 611871 632970 706005 1019785 1223742 1412010 1835613 2039570 3059355 3671226 6118710 9178065 18356130