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18680416 = 2517231493
BaseRepresentation
bin100011101000…
…0101001100000
31022011001201021
41013100221200
514240233131
61504215224
7314531566
oct107205140
938131637
1018680416
11a5a9967
12630a514
133b40901
1426a3a36
15198ee11
hex11d0a60

18680416 has 48 divisors (see below), whose sum is σ = 40660704. Its totient is φ = 8402944.

The previous prime is 18680413. The next prime is 18680423. The reversal of 18680416 is 61408681.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18680411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11766 + ... + 13258.

It is an arithmetic number, because the mean of its divisors is an integer number (847098).

Almost surely, 218680416 is an apocalyptic number.

18680416 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 18680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20330352).

18680416 is an abundant number, since it is smaller than the sum of its proper divisors (21980288).

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

18680416 is a wasteful number, since it uses less digits than its factorization.

18680416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 18680416 is about 4322.0846821875. The cubic root of 18680416 is about 265.3355947609.

The spelling of 18680416 in words is "eighteen million, six hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1493 1564 2986 3128 5972 6256 11944 12512 23888 25381 34339 47776 50762 68678 101524 137356 203048 274712 406096 549424 583763 812192 1098848 1167526 2335052 4670104 9340208 18680416