Search a number
-
+
2034655160 = 235375325939
BaseRepresentation
bin111100101000110…
…0101111110111000
312020210120012011112
41321101211332320
513131332431120
6533521415452
7101264166146
oct17121457670
95223505145
102034655160
1195456759a
1248949a588
132656bc185
1415431a596
15bd95abc5
hex79465fb8

2034655160 has 64 divisors (see below), whose sum is σ = 4790599200. Its totient is φ = 776894976.

The previous prime is 2034655157. The next prime is 2034655193. The reversal of 2034655160 is 615564302.

It is a super-2 number, since 2×20346551602 = 8279643240229251200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65471 + ... + 91409.

Almost surely, 22034655160 is an apocalyptic number.

2034655160 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 2034655160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395299600).

2034655160 is an abundant number, since it is smaller than the sum of its proper divisors (2755944040).

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

2034655160 is a wasteful number, since it uses less digits than its factorization.

2034655160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26040 (or 26036 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2034655160 is about 45107.1519828065. The cubic root of 2034655160 is about 1267.1565458196.

The spelling of 2034655160 in words is "two billion, thirty-four million, six hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 53 74 106 148 185 212 265 296 370 424 530 740 1060 1480 1961 2120 3922 7844 9805 15688 19610 25939 39220 51878 78440 103756 129695 207512 259390 518780 959743 1037560 1374767 1919486 2749534 3838972 4798715 5499068 6873835 7677944 9597430 10998136 13747670 19194860 27495340 38389720 50866379 54990680 101732758 203465516 254331895 406931032 508663790 1017327580 2034655160