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18992064 = 2637131087
BaseRepresentation
bin100100001110…
…0101111000000
31022201220012210
41020130233000
514330221224
61515022120
7320300310
oct110345700
938656183
1018992064
11a7a2023
12643a940
133c1c710
142745440
151a02429
hex121cbc0

18992064 has 112 divisors (see below), whose sum is σ = 61902848. Its totient is φ = 5004288.

The previous prime is 18992059. The next prime is 18992087. The reversal of 18992064 is 46029981.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16929 + ... + 18015.

It is an arithmetic number, because the mean of its divisors is an integer number (552704).

Almost surely, 218992064 is an apocalyptic number.

18992064 is a gapful number since it is divisible by the number (14) 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 18992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30951424).

18992064 is an abundant number, since it is smaller than the sum of its proper divisors (42910784).

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

18992064 is a wasteful number, since it uses less digits than its factorization.

18992064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 18992064 is about 4357.9885268321. The cubic root of 18992064 is about 266.8030080572.

The spelling of 18992064 in words is "eighteen million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1087 1092 1248 1344 1456 2174 2184 2496 2912 3261 4348 4368 5824 6522 7609 8696 8736 13044 14131 15218 17392 17472 22827 26088 28262 30436 34784 42393 45654 52176 56524 60872 69568 84786 91308 98917 104352 113048 121744 169572 182616 197834 208704 226096 243488 296751 339144 365232 395668 452192 486976 593502 678288 730464 791336 904384 1187004 1356576 1460928 1582672 2374008 2713152 3165344 4748016 6330688 9496032 18992064