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18901072 = 243153719
BaseRepresentation
bin100100000011…
…0100001010000
31022120021101201
41020012201100
514314313242
61513040544
7316441111
oct110064120
938507351
1018901072
11a73a723
1263b6154
133bba188
142720208
1519d54b7
hex1206850

18901072 has 40 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 8960640.

The previous prime is 18901061. The next prime is 18901079. The reversal of 18901072 is 27010981.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 18901072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18901079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25929 + ... + 26647.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 218901072 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 18901072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

18901072 is an abundant number, since it is smaller than the sum of its proper divisors (19667888).

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

18901072 is a wasteful number, since it uses less digits than its factorization.

18901072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 18901072 is about 4347.5363138219. The cubic root of 18901072 is about 266.3762365815.

The spelling of 18901072 in words is "eighteen million, nine hundred one thousand, seventy-two".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 719 848 1438 1643 2876 3286 5752 6572 11504 13144 22289 26288 38107 44578 76214 89156 152428 178312 304856 356624 609712 1181317 2362634 4725268 9450536 18901072