Search a number
-
+
2161473760 = 255233118947
BaseRepresentation
bin1000000011010101…
…0111100011100000
312120122012020120201
42000311113203200
513411314130020
6554251514544
7104364136525
oct20065274340
95518166521
102161473760
11a0a106256
12503a58a54
13285a62874
141670cd14c
15c9b5ba0a
hex80d578e0

2161473760 has 96 divisors (see below), whose sum is σ = 5500680192. Its totient is φ = 800279040.

The previous prime is 2161473749. The next prime is 2161473761. The reversal of 2161473760 is 673741612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161473761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104607 + ... + 123553.

It is an arithmetic number, because the mean of its divisors is an integer number (57298752).

Almost surely, 22161473760 is an apocalyptic number.

2161473760 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 2161473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750340096).

2161473760 is an abundant number, since it is smaller than the sum of its proper divisors (3339206432).

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

2161473760 is a wasteful number, since it uses less digits than its factorization.

2161473760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19016 (or 19008 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 2161473760 is about 46491.6525840930. The cubic root of 2161473760 is about 1292.9547397430.

The spelling of 2161473760 in words is "two billion, one hundred sixty-one million, four hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 80 92 115 124 155 160 184 230 248 310 368 460 496 620 713 736 920 992 1240 1426 1840 2480 2852 3565 3680 4960 5704 7130 11408 14260 18947 22816 28520 37894 57040 75788 94735 114080 151576 189470 303152 378940 435781 587357 606304 757880 871562 1174714 1515760 1743124 2178905 2349428 2936785 3031520 3486248 4357810 4698856 5873570 6972496 8715620 9397712 11747140 13509211 13944992 17431240 18795424 23494280 27018422 34862480 46988560 54036844 67546055 69724960 93977120 108073688 135092110 216147376 270184220 432294752 540368440 1080736880 2161473760