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18679860 = 22325157661
BaseRepresentation
bin100011101000…
…0100000110100
31022011000221200
41013100200310
514240223420
61504212500
7314530143
oct107204064
938130850
1018679860
11a5a9501
12630a130
133b40594
1426a375a
15198eb90
hex11d0834

18679860 has 72 divisors (see below), whose sum is σ = 57109416. Its totient is φ = 4942080.

The previous prime is 18679823. The next prime is 18679861. The reversal of 18679860 is 6897681.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 16208676 = 1572^2 + 4026^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18679861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27930 + ... + 28590.

Almost surely, 218679860 is an apocalyptic number.

18679860 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 18679860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28554708).

18679860 is an abundant number, since it is smaller than the sum of its proper divisors (38429556).

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

18679860 is a wasteful number, since it uses less digits than its factorization.

18679860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 18679860 is about 4322.0203608960. The cubic root of 18679860 is about 265.3329622704.

It can be divided in two parts, 1 and 8679860, that added together give a triangular number (8679861 = T4166).

The spelling of 18679860 in words is "eighteen million, six hundred seventy-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 661 785 942 1322 1413 1570 1884 1983 2355 2644 2826 3140 3305 3966 4710 5652 5949 6610 7065 7932 9420 9915 11898 13220 14130 19830 23796 28260 29745 39660 59490 103777 118980 207554 311331 415108 518885 622662 933993 1037770 1245324 1556655 1867986 2075540 3113310 3735972 4669965 6226620 9339930 18679860