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18696420 = 223553847
BaseRepresentation
bin100011101010…
…0100011100100
31022011212200000
41013110203210
514241241140
61504421300
7314626341
oct107244344
938155600
1018696420
11a60a996
126317830
133b47c92
1426a97c8
151994a30
hex11d48e4

18696420 has 72 divisors (see below), whose sum is σ = 58828224. Its totient is φ = 4984416.

The previous prime is 18696397. The next prime is 18696421. The reversal of 18696420 is 2469681.

18696420 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 642 + 0 = 666.

It is a super-2 number, since 2×186964202 = 699112241632800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18696421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2937 + ... + 6783.

Almost surely, 218696420 is an apocalyptic number.

18696420 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 18696420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29414112).

18696420 is an abundant number, since it is smaller than the sum of its proper divisors (40131804).

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

18696420 is a wasteful number, since it uses less digits than its factorization.

18696420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 18696420 is about 4323.9357072001. The cubic root of 18696420 is about 265.4113464422.

The spelling of 18696420 in words is "eighteen million, six hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 3847 4860 7694 11541 15388 19235 23082 34623 38470 46164 57705 69246 76940 103869 115410 138492 173115 207738 230820 311607 346230 415476 519345 623214 692460 934821 1038690 1246428 1558035 1869642 2077380 3116070 3739284 4674105 6232140 9348210 18696420