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18493680 = 2435251307
BaseRepresentation
bin100011010001…
…1000011110000
31021210120120010
41012203003300
514213244210
61500214520
7313123302
oct106430360
937716503
1018493680
11a491637
12623a440
133aa690a
142655972
151954920
hex11a30f0

18493680 has 80 divisors (see below), whose sum is σ = 57746304. Its totient is φ = 4896000.

The previous prime is 18493649. The next prime is 18493687. The reversal of 18493680 is 8639481.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18493687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60087 + ... + 60393.

Almost surely, 218493680 is an apocalyptic number.

18493680 is a gapful number since it is divisible by the number (10) 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 18493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28873152).

18493680 is an abundant number, since it is smaller than the sum of its proper divisors (39252624).

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

18493680 is a wasteful number, since it uses less digits than its factorization.

18493680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 18493680 is about 4300.4278856877. The cubic root of 18493680 is about 264.4485029991.

The spelling of 18493680 in words is "eighteen million, four hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 307 502 614 753 921 1004 1228 1255 1506 1535 1842 2008 2456 2510 3012 3070 3684 3765 4016 4605 4912 5020 6024 6140 7368 7530 9210 10040 12048 12280 14736 15060 18420 20080 24560 30120 36840 60240 73680 77057 154114 231171 308228 385285 462342 616456 770570 924684 1155855 1232912 1541140 1849368 2311710 3082280 3698736 4623420 6164560 9246840 18493680