Search a number
-
+
1982337160 = 235313743207
BaseRepresentation
bin111011000101000…
…0001000010001000
312010011010011100211
41312022001002020
513024434242120
6524412210504
7100060405426
oct16612010210
95104104324
101982337160
11927a83281
12473a69a34
1325790198b
1414b3bc116
15b907425a
hex76281088

1982337160 has 64 divisors (see below), whose sum is σ = 4728683520. Its totient is φ = 746599680.

The previous prime is 1982337143. The next prime is 1982337209. The reversal of 1982337160 is 617332891.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 24277 + ... + 67483.

It is an arithmetic number, because the mean of its divisors is an integer number (73885680).

Almost surely, 21982337160 is an apocalyptic number.

1982337160 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 1982337160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364341760).

1982337160 is an abundant number, since it is smaller than the sum of its proper divisors (2746346360).

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

1982337160 is a wasteful number, since it uses less digits than its factorization.

1982337160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43286 (or 43282 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1982337160 is about 44523.4450598783. The cubic root of 1982337160 is about 1256.2011135486.

The spelling of 1982337160 in words is "one billion, nine hundred eighty-two million, three hundred thirty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 124 148 155 185 248 296 310 370 620 740 1147 1240 1480 2294 4588 5735 9176 11470 22940 43207 45880 86414 172828 216035 345656 432070 864140 1339417 1598659 1728280 2678834 3197318 5357668 6394636 6697085 7993295 10715336 12789272 13394170 15986590 26788340 31973180 49558429 53576680 63946360 99116858 198233716 247792145 396467432 495584290 991168580 1982337160