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18690100 = 225211131307
BaseRepresentation
bin100011101001…
…1000000110100
31022011112222221
41013103000310
514241040400
61504332124
7314602042
oct107230064
938145887
1018690100
11a606170
126314044
133b45140
1426a7392
151992c1a
hex11d3034

18690100 has 72 divisors (see below), whose sum is σ = 47684448. Its totient is φ = 6268800.

The previous prime is 18690097. The next prime is 18690107. The reversal of 18690100 is 109681.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18690107) 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, 13647 + ... + 14953.

It is an arithmetic number, because the mean of its divisors is an integer number (662284).

Almost surely, 218690100 is an apocalyptic number.

18690100 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 18690100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23842224).

18690100 is an abundant number, since it is smaller than the sum of its proper divisors (28994348).

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

18690100 is a wasteful number, since it uses less digits than its factorization.

18690100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 18690100 is about 4323.2048297530. The cubic root of 18690100 is about 265.3814371735.

Adding to 18690100 its reverse (109681), we get a palindrome (18799781).

The spelling of 18690100 in words is "eighteen million, six hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1307 1430 2614 2860 3575 5228 6535 7150 13070 14300 14377 16991 26140 28754 32675 33982 57508 65350 67964 71885 84955 130700 143770 169910 186901 287540 339820 359425 373802 424775 718850 747604 849550 934505 1437700 1699100 1869010 3738020 4672525 9345050 18690100