[go: up one dir, main page]

Search a number
-
+
241407990 = 232517831901
BaseRepresentation
bin11100110001110…
…01011111110110
3121211020210111200
432120321133312
5443300023430
635542113330
75660635245
oct1630713766
9554223450
10241407990
111142a543a
1268a1b846
133b024985
14240c095c
15162d8460
hexe6397f6

241407990 has 96 divisors (see below), whose sum is σ = 672942816. Its totient is φ = 59827200.

The previous prime is 241407989. The next prime is 241408009. The reversal of 241407990 is 99704142.

241407990 is a `hidden beast` number, since 241 + 407 + 9 + 9 + 0 = 666.

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, 126040 + ... + 127940.

It is an arithmetic number, because the mean of its divisors is an integer number (7009821).

Almost surely, 2241407990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241407990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336471408).

241407990 is an abundant number, since it is smaller than the sum of its proper divisors (431534826).

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

241407990 is a wasteful number, since it uses less digits than its factorization.

241407990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 241407990 is about 15537.3096126710. The cubic root of 241407990 is about 622.6593969324.

The spelling of 241407990 in words is "two hundred forty-one million, four hundred seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 83 85 90 102 153 166 170 249 255 306 415 498 510 747 765 830 1245 1411 1494 1530 1901 2490 2822 3735 3802 4233 5703 7055 7470 8466 9505 11406 12699 14110 17109 19010 21165 25398 28515 32317 34218 42330 57030 63495 64634 85545 96951 126990 157783 161585 171090 193902 290853 315566 323170 473349 484755 581706 788915 946698 969510 1420047 1454265 1577830 2366745 2682311 2840094 2908530 4733490 5364622 7100235 8046933 13411555 14200470 16093866 24140799 26823110 40234665 48281598 80469330 120703995 241407990