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18830064 = 24311191877
BaseRepresentation
bin100011111010…
…1001011110000
31022102122222210
41013311023300
514310030224
61511332120
7316024101
oct107651360
938378883
1018830064
11a6a1340
126381040
133b93a66
1427023a8
1519be429
hex11f52f0

18830064 has 80 divisors (see below), whose sum is σ = 55889280. Its totient is φ = 5402880.

The previous prime is 18830059. The next prime is 18830081. The reversal of 18830064 is 46003881.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9094 + ... + 10970.

It is an arithmetic number, because the mean of its divisors is an integer number (698616).

Almost surely, 218830064 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 18830064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944640).

18830064 is an abundant number, since it is smaller than the sum of its proper divisors (37059216).

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

18830064 is a wasteful number, since it uses less digits than its factorization.

18830064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18830064 is about 4339.3621651114. The cubic root of 18830064 is about 266.0422417698.

The spelling of 18830064 in words is "eighteen million, eight hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 1877 2508 3344 3754 5016 5631 7508 10032 11262 15016 20647 22524 30032 35663 41294 45048 61941 71326 82588 90096 106989 123882 142652 165176 213978 247764 285304 330352 392293 427956 495528 570608 784586 855912 991056 1176879 1569172 1711824 2353758 3138344 4707516 6276688 9415032 18830064