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18420696 = 2334731131
BaseRepresentation
bin100011001000…
…1001111011000
31021122212110000
41012101033120
514203430241
61454453000
7312400440
oct106211730
937585400
1018420696
11a441818
126204160
133a7c628
142637120
15193ceb6
hex11913d8

18420696 has 160 divisors (see below), whose sum is σ = 61332480. Its totient is φ = 5054400.

The previous prime is 18420691. The next prime is 18420739. The reversal of 18420696 is 69602481.

18420696 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×184206962 = 678644082248832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18420696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18420691) 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 39 ways as a sum of consecutive naturals, for example, 140551 + ... + 140681.

It is an arithmetic number, because the mean of its divisors is an integer number (383328).

Almost surely, 218420696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18420696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30666240).

18420696 is an abundant number, since it is smaller than the sum of its proper divisors (42911784).

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

18420696 is a wasteful number, since it uses less digits than its factorization.

18420696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

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

The square root of 18420696 is about 4291.9338298720. The cubic root of 18420696 is about 264.1001686001.

The spelling of 18420696 in words is "eighteen million, four hundred twenty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 131 162 168 186 189 216 217 248 252 262 279 324 372 378 393 434 504 524 558 567 648 651 744 756 786 837 868 917 1048 1116 1134 1179 1302 1512 1572 1674 1736 1834 1953 2232 2268 2358 2511 2604 2751 3144 3348 3537 3668 3906 4061 4536 4716 5022 5208 5502 5859 6696 7074 7336 7812 8122 8253 9432 10044 10611 11004 11718 12183 14148 15624 16244 16506 17577 20088 21222 22008 23436 24366 24759 28296 28427 32488 33012 35154 36549 42444 46872 48732 49518 56854 66024 70308 73098 74277 84888 85281 97464 99036 109647 113708 140616 146196 148554 170562 198072 219294 227416 255843 292392 297108 328941 341124 438588 511686 594216 657882 682248 767529 877176 1023372 1315764 1535058 2046744 2302587 2631528 3070116 4605174 6140232 9210348 18420696