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18139680 = 25335131719
BaseRepresentation
bin100010100110…
…0101000100000
31021010120222000
41011030220200
514120432210
61444444000
7310120236
oct105145040
937116860
1018139680
11a26a679
1260a9600
1339b1750
1425a2956
1518d4ac0
hex114ca20

18139680 has 384 divisors, whose sum is σ = 76204800. Its totient is φ = 3981312.

The previous prime is 18139633. The next prime is 18139711. The reversal of 18139680 is 8693181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954711 + ... + 954729.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 218139680 is an apocalyptic number.

18139680 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 18139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

18139680 is an abundant number, since it is smaller than the sum of its proper divisors (58065120).

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

18139680 is a wasteful number, since it uses less digits than its factorization.

18139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18139680 is about 4259.0703210912. The cubic root of 18139680 is about 262.7502918849.

It can be divided in two parts, 181396 and 80, that added together give a square (181476 = 4262).

The spelling of 18139680 in words is "eighteen million, one hundred thirty-nine thousand, six hundred eighty".