Search a number
-
+
641156960 = 255127139227
BaseRepresentation
bin100110001101110…
…100011101100000
31122200110011000002
4212031310131200
52303114010320
6143342115132
721613513163
oct4615643540
91580404002
10641156960
112a9a09794
1215a87baa8
13a2aa8c22
146121bada
153b44c675
hex26374760

641156960 has 96 divisors (see below), whose sum is σ = 1544417280. Its totient is φ = 251500032.

The previous prime is 641156951. The next prime is 641156963. The reversal of 641156960 is 69651146.

It is a super-2 number, since 2×6411569602 = 822164494712883200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641156963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2824367 + ... + 2824593.

It is an arithmetic number, because the mean of its divisors is an integer number (16087680).

Almost surely, 2641156960 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 641156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

641156960 is an abundant number, since it is smaller than the sum of its proper divisors (903260320).

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

641156960 is a wasteful number, since it uses less digits than its factorization.

641156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 641156960 is about 25321.0773862409. The cubic root of 641156960 is about 862.2928539856.

The spelling of 641156960 in words is "six hundred forty-one million, one hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 139 160 227 254 278 454 508 556 635 695 908 1016 1112 1135 1270 1390 1816 2032 2224 2270 2540 2780 3632 4064 4448 4540 5080 5560 7264 9080 10160 11120 17653 18160 20320 22240 28829 31553 35306 36320 57658 63106 70612 88265 115316 126212 141224 144145 157765 176530 230632 252424 282448 288290 315530 353060 461264 504848 564896 576580 631060 706120 922528 1009696 1153160 1262120 1412240 2306320 2524240 2824480 4007231 4612640 5048480 8014462 16028924 20036155 32057848 40072310 64115696 80144620 128231392 160289240 320578480 641156960