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18902016 = 210327293
BaseRepresentation
bin100100000011…
…0110000000000
31022120022200200
41020012300000
514314331031
61513045200
7316443630
oct110066000
938508620
1018902016
11a740401
1263b6800
133bba733
1427206c0
1519d58e6
hex1206c00

18902016 has 132 divisors (see below), whose sum is σ = 62589072. Its totient is φ = 5382144.

The previous prime is 18901957. The next prime is 18902041. The reversal of 18902016 is 61020981.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64366 + ... + 64658.

Almost surely, 218902016 is an apocalyptic number.

18902016 is a gapful number since it is divisible by the number (16) 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 18902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31294536).

18902016 is an abundant number, since it is smaller than the sum of its proper divisors (43687056).

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

18902016 is a wasteful number, since it uses less digits than its factorization.

18902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 18902016 is about 4347.6448797021. The cubic root of 18902016 is about 266.3806711621.

Adding to 18902016 its reverse (61020981), we get a palindrome (79922997).

The spelling of 18902016 in words is "eighteen million, nine hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 293 336 384 448 504 512 576 586 672 768 879 896 1008 1024 1152 1172 1344 1536 1758 1792 2016 2051 2304 2344 2637 2688 3072 3516 3584 4032 4102 4608 4688 5274 5376 6153 7032 7168 8064 8204 9216 9376 10548 10752 12306 14064 16128 16408 18459 18752 21096 21504 24612 28128 32256 32816 36918 37504 42192 49224 56256 64512 65632 73836 75008 84384 98448 112512 131264 147672 150016 168768 196896 225024 262528 295344 300032 337536 393792 450048 525056 590688 675072 787584 900096 1050112 1181376 1350144 1575168 2100224 2362752 2700288 3150336 4725504 6300672 9451008 18902016