Search a number
-
+
2161024660 = 22519139163251
BaseRepresentation
bin1000000011001110…
…1001111010010100
312120121100102112101
42000303221322110
513411210242120
6554234131444
7104360256304
oct20063517224
95517312471
102161024660
11a099298a3
12503880b84
13285936322
14167013604
15c9abd90a
hex80ce9e94

2161024660 has 96 divisors (see below), whose sum is σ = 4860172800. Its totient is φ = 804816000.

The previous prime is 2161024631. The next prime is 2161024661. The reversal of 2161024660 is 664201612.

It is a super-2 number, since 2×21610246602 = 9340055162256231200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161024661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8609535 + ... + 8609785.

It is an arithmetic number, because the mean of its divisors is an integer number (50626800).

Almost surely, 22161024660 is an apocalyptic number.

2161024660 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 2161024660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430086400).

2161024660 is an abundant number, since it is smaller than the sum of its proper divisors (2699148140).

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

2161024660 is a wasteful number, since it uses less digits than its factorization.

2161024660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2161024660 is about 46486.8224338898. The cubic root of 2161024660 is about 1292.8651856920.

The spelling of 2161024660 in words is "two billion, one hundred sixty-one million, twenty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 139 163 190 251 278 326 380 502 556 652 695 815 1004 1255 1390 1630 2510 2641 2780 3097 3260 4769 5020 5282 6194 9538 10564 12388 13205 15485 19076 22657 23845 26410 30970 34889 40913 45314 47690 52820 61940 69778 81826 90628 95380 113285 139556 163652 174445 204565 226570 348890 409130 430483 453140 662891 697780 777347 818260 860966 1325782 1554694 1721932 2152415 2651564 3109388 3314455 3886735 4304830 5686907 6628910 7773470 8609660 11373814 13257820 15546940 22747628 28434535 56869070 108051233 113738140 216102466 432204932 540256165 1080512330 2161024660