Search a number
-
+
241600656 = 243111924083
BaseRepresentation
bin11100110011010…
…00100010010000
3121211121120210110
432121220202100
5443322210111
635550201320
75662400043
oct1631504220
9554546713
10241600656
11114417170
1268ab3240
133b09158b
1424130c5a
15163255a6
hexe668890

241600656 has 80 divisors (see below), whose sum is σ = 716739840. Its totient is φ = 69356160.

The previous prime is 241600649. The next prime is 241600691. The reversal of 241600656 is 656006142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010 + ... + 22073.

It is an arithmetic number, because the mean of its divisors is an integer number (8959248).

Almost surely, 2241600656 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 241600656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358369920).

241600656 is an abundant number, since it is smaller than the sum of its proper divisors (475139184).

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

241600656 is a wasteful number, since it uses less digits than its factorization.

241600656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24124 (or 24118 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 241600656 is about 15543.5084842516. The cubic root of 241600656 is about 622.8249995637.

Adding to 241600656 its reverse (656006142), we get a palindrome (897606798).

The spelling of 241600656 in words is "two hundred forty-one million, six hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 24083 48166 72249 96332 144498 192664 264913 288996 385328 457577 529826 577992 794739 915154 1059652 1155984 1372731 1589478 1830308 2119304 2745462 3178956 3660616 4238608 5033347 5490924 6357912 7321232 10066694 10981848 12715824 15100041 20133388 21963696 30200082 40266776 60400164 80533552 120800328 241600656