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18028400 = 2452133467
BaseRepresentation
bin100010011000…
…1011101110000
31020220221022112
41010301131300
514103402100
61442224452
7306144635
oct104613560
936827275
1018028400
11a1a4005
126055128
133972bc0
14257418c
1518b1b35
hex1131770

18028400 has 60 divisors (see below), whose sum is σ = 46658472. Its totient is φ = 6654720.

The previous prime is 18028379. The next prime is 18028411. The reversal of 18028400 is 482081.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3467 + ... + 6933.

Almost surely, 218028400 is an apocalyptic number.

18028400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18028400 is the 3467-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23329236).

18028400 is an abundant number, since it is smaller than the sum of its proper divisors (28630072).

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

18028400 is a wasteful number, since it uses less digits than its factorization.

18028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 18028400 is about 4245.9863400628. The cubic root of 18028400 is about 262.2118985796.

The spelling of 18028400 in words is "eighteen million, twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 3467 5200 6934 13868 17335 27736 34670 45071 55472 69340 86675 90142 138680 173350 180284 225355 277360 346700 360568 450710 693400 721136 901420 1126775 1386800 1802840 2253550 3605680 4507100 9014200 18028400