Search a number
-
+
399259980 = 223257714463
BaseRepresentation
bin10111110011000…
…011100101001100
31000211021111201200
4113303003211030
51304202304410
6103341305500
712615440160
oct2763034514
91024244650
10399259980
1119540aa29
12b1865290
1364942812
143b050ca0
15250b93c0
hex17cc394c

399259980 has 144 divisors (see below), whose sum is σ = 1403910144. Its totient is φ = 89953920.

The previous prime is 399259979. The next prime is 399259997. The reversal of 399259980 is 89952993.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87229 + ... + 91691.

It is an arithmetic number, because the mean of its divisors is an integer number (9749376).

Almost surely, 2399259980 is an apocalyptic number.

399259980 is a gapful number since it is divisible by the number (30) 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 399259980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

399259980 is an abundant number, since it is smaller than the sum of its proper divisors (1004650164).

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

399259980 is a wasteful number, since it uses less digits than its factorization.

399259980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 399259980 is about 19981.4909353632. The cubic root of 399259980 is about 736.3516430686.

The spelling of 399259980 in words is "three hundred ninety-nine million, two hundred fifty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 71 84 90 105 126 140 142 180 210 213 252 284 315 355 420 426 497 630 639 710 852 994 1065 1260 1278 1420 1491 1988 2130 2485 2556 2982 3195 4260 4463 4473 4970 5964 6390 7455 8926 8946 9940 12780 13389 14910 17852 17892 22315 22365 26778 29820 31241 40167 44630 44730 53556 62482 66945 80334 89260 89460 93723 124964 133890 156205 160668 187446 200835 267780 281169 312410 316873 374892 401670 468615 562338 624820 633746 803340 937230 950619 1124676 1267492 1405845 1584365 1874460 1901238 2218111 2811690 2851857 3168730 3802476 4436222 4753095 5623380 5703714 6337460 6654333 8872444 9506190 11090555 11407428 13308666 14259285 19012380 19962999 22181110 26617332 28518570 33271665 39925998 44362220 57037140 66543330 79851996 99814995 133086660 199629990 399259980