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18679980 = 22351123183
BaseRepresentation
bin100011101000…
…0100010101100
31022011001010010
41013100202230
514240224410
61504213220
7314530404
oct107204254
938131103
1018679980
11a5a9600
12630a210
133b40657
1426a3804
15198ec20
hex11d08ac

18679980 has 144 divisors (see below), whose sum is σ = 60060672. Its totient is φ = 4329600.

The previous prime is 18679967. The next prime is 18679987. The reversal of 18679980 is 8997681.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18679987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225019 + ... + 225101.

It is an arithmetic number, because the mean of its divisors is an integer number (417088).

Almost surely, 218679980 is an apocalyptic number.

18679980 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 18679980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30030336).

18679980 is an abundant number, since it is smaller than the sum of its proper divisors (41380692).

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

18679980 is a wasteful number, since it uses less digits than its factorization.

18679980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 18679980 is about 4322.0342432702. The cubic root of 18679980 is about 265.3335304382. Note that the first 3 decimals are identical.

The spelling of 18679980 in words is "eighteen million, six hundred seventy-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 83 93 110 121 124 132 155 165 166 186 220 242 249 310 330 332 341 363 372 415 465 484 498 605 620 660 682 726 830 913 930 996 1023 1210 1245 1364 1452 1660 1705 1815 1826 1860 2046 2420 2490 2573 2739 3410 3630 3652 3751 4092 4565 4980 5115 5146 5478 6820 7260 7502 7719 9130 10043 10230 10292 10956 11253 12865 13695 15004 15438 18260 18755 20086 20460 22506 25730 27390 28303 30129 30876 37510 38595 40172 45012 50215 51460 54780 56265 56606 60258 75020 77190 84909 100430 112530 113212 120516 141515 150645 154380 169818 200860 225060 283030 301290 311333 339636 424545 566060 602580 622666 849090 933999 1245332 1556665 1698180 1867998 3113330 3735996 4669995 6226660 9339990 18679980