Search a number
-
+
18977000 = 235372711
BaseRepresentation
bin100100001100…
…1000011101000
31022201010112212
41020121003220
514324231000
61514424252
7320205350
oct110310350
938633485
1018977000
11a791779
126432088
133c158c3
14273db60
1519ecc35
hex12190e8

18977000 has 64 divisors (see below), whose sum is σ = 50768640. Its totient is φ = 6504000.

The previous prime is 18976999. The next prime is 18977011. The reversal of 18977000 is 77981.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5645 + ... + 8355.

It is an arithmetic number, because the mean of its divisors is an integer number (793260).

Almost surely, 218977000 is an apocalyptic number.

18977000 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 18977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25384320).

18977000 is an abundant number, since it is smaller than the sum of its proper divisors (31791640).

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

18977000 is a wasteful number, since it uses less digits than its factorization.

18977000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The square root of 18977000 is about 4356.2598636904. The cubic root of 18977000 is about 266.7324490490.

The spelling of 18977000 in words is "eighteen million, nine hundred seventy-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2711 3500 5422 7000 10844 13555 18977 21688 27110 37954 54220 67775 75908 94885 108440 135550 151816 189770 271100 338875 379540 474425 542200 677750 759080 948850 1355500 1897700 2372125 2711000 3795400 4744250 9488500 18977000