Search a number
-
+
2141769960 = 2332511540851
BaseRepresentation
bin111111110101000…
…1101000011101000
312112021010012001100
41333222031003220
513341243114320
6552305321400
7104034513201
oct17752150350
95467105040
102141769960
119a9a78520
124b9336260
13281954205
141646405a8
15c8068790
hex7fa8d0e8

2141769960 has 96 divisors (see below), whose sum is σ = 7593562080. Its totient is φ = 519216000.

The previous prime is 2141769953. The next prime is 2141769967. The reversal of 2141769960 is 699671412.

It is an interprime number because it is at equal distance from previous prime (2141769953) and next prime (2141769967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2141769967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266466 + ... + 274385.

It is an arithmetic number, because the mean of its divisors is an integer number (79099605).

Almost surely, 22141769960 is an apocalyptic number.

2141769960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141769960 is an abundant number, since it is smaller than the sum of its proper divisors (5451792120).

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

2141769960 is a wasteful number, since it uses less digits than its factorization.

2141769960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540879 (or 540872 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2141769960 is about 46279.2605818200. The cubic root of 2141769960 is about 1289.0139210299.

The spelling of 2141769960 in words is "two billion, one hundred forty-one million, seven hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 540851 1081702 1622553 2163404 2704255 3245106 4326808 4867659 5408510 5949361 6490212 8112765 9735318 10817020 11898722 12980424 16225530 17848083 19470636 21634040 23797444 24338295 29746805 32451060 35696166 38941272 47594888 48676590 53544249 59493610 64902120 71392332 89240415 97353180 107088498 118987220 142784664 178480830 194706360 214176996 237974440 267721245 356961660 428353992 535442490 713923320 1070884980 2141769960