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18923268 = 22371323143
BaseRepresentation
bin100100000101…
…1111100000100
31022121101211210
41020023330010
514321021033
61513331420
7316562610
oct110137404
938541753
1018923268
11a755371
126406b70
133bc7300
142728340
1519dbd63
hex120bf04

18923268 has 144 divisors (see below), whose sum is σ = 57716736. Its totient is φ = 4717440.

The previous prime is 18923257. The next prime is 18923291. The reversal of 18923268 is 86232981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440055 + ... + 440097.

Almost surely, 218923268 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 18923268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858368).

18923268 is an abundant number, since it is smaller than the sum of its proper divisors (38793468).

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

18923268 is a wasteful number, since it uses less digits than its factorization.

18923268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 18923268 is about 4350.0882749664. The cubic root of 18923268 is about 266.4804665437.

It can be divided in two parts, 18923 and 268, that added together give a palindrome (19191).

The spelling of 18923268 in words is "eighteen million, nine hundred twenty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 43 52 62 78 84 86 91 93 124 129 156 169 172 182 186 217 258 273 301 338 364 372 403 434 507 516 546 559 602 651 676 806 868 903 1014 1092 1118 1183 1204 1209 1302 1333 1612 1677 1806 2028 2236 2366 2418 2604 2666 2821 3354 3549 3612 3913 3999 4732 4836 5239 5332 5642 6708 7098 7267 7826 7998 8463 9331 10478 11284 11739 14196 14534 15652 15717 15996 16926 17329 18662 20956 21801 23478 27993 29068 31434 33852 34658 36673 37324 43602 46956 50869 51987 55986 62868 69316 73346 87204 101738 103974 110019 111972 121303 146692 152607 203476 207948 220038 225277 242606 305214 363909 440076 450554 485212 610428 675831 727818 901108 1351662 1455636 1576939 2703324 3153878 4730817 6307756 9461634 18923268