Search a number
-
+
250984980 = 22355431201
BaseRepresentation
bin11101111010110…
…11101000010100
3122111021100200000
432331123220110
51003223004410
640523251300
76135223431
oct1675335024
9574240600
10250984980
11119746804
1270079b30
133ccc8b2c
1425494b88
151707adc0
hexef5ba14

250984980 has 144 divisors (see below), whose sum is σ = 808551744. Its totient is φ = 65318400.

The previous prime is 250984973. The next prime is 250984999. The reversal of 250984980 is 89489052.

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

It is a congruent number.

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, 208380 + ... + 209580.

Almost surely, 2250984980 is an apocalyptic number.

250984980 is a gapful number since it is divisible by the number (20) 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 250984980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404275872).

250984980 is an abundant number, since it is smaller than the sum of its proper divisors (557566764).

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

250984980 is a wasteful number, since it uses less digits than its factorization.

250984980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 250984980 is about 15842.5054836664. The cubic root of 250984980 is about 630.7867721368.

The spelling of 250984980 in words is "two hundred fifty million, nine hundred eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 243 258 270 324 387 405 430 486 516 540 645 774 810 860 972 1161 1201 1215 1290 1548 1620 1935 2322 2402 2430 2580 3483 3603 3870 4644 4804 4860 5805 6005 6966 7206 7740 10449 10809 11610 12010 13932 14412 17415 18015 20898 21618 23220 24020 32427 34830 36030 41796 43236 51643 52245 54045 64854 69660 72060 97281 103286 104490 108090 129708 154929 162135 194562 206572 208980 216180 258215 291843 309858 324270 389124 464787 486405 516430 583686 619716 648540 774645 929574 972810 1032860 1167372 1394361 1459215 1549290 1859148 1945620 2323935 2788722 2918430 3098580 4183083 4647870 5577444 5836860 6971805 8366166 9295740 12549249 13943610 16732332 20915415 25098498 27887220 41830830 50196996 62746245 83661660 125492490 250984980