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18830504 = 2372112397
BaseRepresentation
bin100011111010…
…1010010101000
31022102200121002
41013311102220
514310034004
61511334132
7316025300
oct107652250
938380532
1018830504
11a6a1700
126381348
133b94014
142702600
1519be61e
hex11f54a8

18830504 has 72 divisors (see below), whose sum is σ = 45258570. Its totient is φ = 7318080.

The previous prime is 18830477. The next prime is 18830507. The reversal of 18830504 is 40503881.

It can be written as a sum of positive squares in only one way, i.e., 14822500 + 4008004 = 3850^2 + 2002^2 .

It is not an unprimeable number, because it can be changed into a prime (18830507) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47234 + ... + 47630.

Almost surely, 218830504 is an apocalyptic number.

18830504 is a gapful number since it is divisible by the number (14) 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 18830504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629285).

18830504 is an abundant number, since it is smaller than the sum of its proper divisors (26428066).

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

18830504 is a wasteful number, since it uses less digits than its factorization.

18830504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 18830504 is about 4339.4128635105. The cubic root of 18830504 is about 266.0443139468.

The spelling of 18830504 in words is "eighteen million, eight hundred thirty thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 397 484 539 616 794 847 968 1078 1588 1694 2156 2779 3176 3388 4312 4367 5558 5929 6776 8734 11116 11858 17468 19453 22232 23716 30569 34936 38906 47432 48037 61138 77812 96074 122276 155624 192148 213983 244552 336259 384296 427966 672518 855932 1345036 1711864 2353813 2690072 4707626 9415252 18830504