Search a number
-
+
418942980 = 2232543113479
BaseRepresentation
bin11000111110001…
…001000000000100
31002012022111201200
4120332021000010
51324222133410
6105323222500
713244646051
oct3076110004
91065274650
10418942980
111a5534075
12b8377a30
1368a44871
143d8d6028
1526ba63c0
hex18f89004

418942980 has 144 divisors (see below), whose sum is σ = 1314593280. Its totient is φ = 107928576.

The previous prime is 418942973. The next prime is 418942981. The reversal of 418942980 is 89249814.

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

It is not an unprimeable number, because it can be changed into a prime (418942981) 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, 874381 + ... + 874859.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2418942980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418942980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

418942980 is an abundant number, since it is smaller than the sum of its proper divisors (895650300).

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

418942980 is a wasteful number, since it uses less digits than its factorization.

418942980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 418942980 is about 20468.0966384273. The cubic root of 418942980 is about 748.2584658752.

The spelling of 418942980 in words is "four hundred eighteen million, nine hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 113 129 172 180 215 226 258 339 387 430 452 479 516 565 645 678 774 860 958 1017 1130 1290 1356 1437 1548 1695 1916 1935 2034 2260 2395 2580 2874 3390 3870 4068 4311 4790 4859 5085 5748 6780 7185 7740 8622 9580 9718 10170 14370 14577 17244 19436 20340 20597 21555 24295 28740 29154 41194 43110 43731 48590 54127 58308 61791 72885 82388 86220 87462 97180 102985 108254 123582 145770 162381 174924 185373 205970 216508 218655 247164 270635 291540 308955 324762 370746 411940 437310 487143 541270 617910 649524 741492 811905 874620 926865 974286 1082540 1235820 1623810 1853730 1948572 2327461 2435715 3247620 3707460 4654922 4871430 6982383 9309844 9742860 11637305 13964766 20947149 23274610 27929532 34911915 41894298 46549220 69823830 83788596 104735745 139647660 209471490 418942980