Search a number
-
+
551343960 = 233252935227
BaseRepresentation
bin100000110111001…
…101011101011000
31102102110011201200
4200313031131120
52112121001320
6130413114200
716443226536
oct4067153530
91372404650
10551343960
11263245972
12134788960
138a2c113b
145331d156
153360b290
hex20dcd758

551343960 has 96 divisors (see below), whose sum is σ = 1798327440. Its totient is φ = 146495232.

The previous prime is 551343953. The next prime is 551343977. The reversal of 551343960 is 69343155.

551343960 is a `hidden beast` number, since 551 + 3 + 43 + 9 + 60 = 666.

551343960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102867 + ... + 108093.

Almost surely, 2551343960 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 551343960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899163720).

551343960 is an abundant number, since it is smaller than the sum of its proper divisors (1246983480).

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

551343960 is a wasteful number, since it uses less digits than its factorization.

551343960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 551343960 is about 23480.7146398912. The cubic root of 551343960 is about 819.9880823174.

The spelling of 551343960 in words is "five hundred fifty-one million, three hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 293 360 586 879 1172 1465 1758 2344 2637 2930 3516 4395 5227 5274 5860 7032 8790 10454 10548 11720 13185 15681 17580 20908 21096 26135 26370 31362 35160 41816 47043 52270 52740 62724 78405 94086 104540 105480 125448 156810 188172 209080 235215 313620 376344 470430 627240 940860 1531511 1881720 3063022 4594533 6126044 7657555 9189066 12252088 13783599 15315110 18378132 22972665 27567198 30630220 36756264 45945330 55134396 61260440 68917995 91890660 110268792 137835990 183781320 275671980 551343960