Search a number
-
+
2120712840 = 23345654541
BaseRepresentation
bin111111001100111…
…1000001010001000
312110210111101010000
41332121320022020
513320400302330
6550234123000
7103360522161
oct17631701210
95423441100
102120712840
119990a5a44
124b2280460
1327a49088c
1416191c768
15c62a9560
hex7e678288

2120712840 has 80 divisors (see below), whose sum is σ = 7127962380. Its totient is φ = 565522560.

The previous prime is 2120712833. The next prime is 2120712851. The reversal of 2120712840 is 482170212.

It can be written as a sum of positive squares in 2 ways, for example, as 1978292484 + 142420356 = 44478^2 + 11934^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 324031 + ... + 330510.

Almost surely, 22120712840 is an apocalyptic number.

2120712840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120712840 is an abundant number, since it is smaller than the sum of its proper divisors (5007249540).

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

2120712840 is a wasteful number, since it uses less digits than its factorization.

2120712840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654564 (or 654551 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2120712840 is about 46051.1980300187. The cubic root of 2120712840 is about 1284.7756253560.

The spelling of 2120712840 in words is "two billion, one hundred twenty million, seven hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 654541 1309082 1963623 2618164 3272705 3927246 5236328 5890869 6545410 7854492 9818115 11781738 13090820 15708984 17672607 19636230 23563476 26181640 29454345 35345214 39272460 47126952 53017821 58908690 70690428 78544920 88363035 106035642 117817380 141380856 176726070 212071284 235634760 265089105 353452140 424142568 530178210 706904280 1060356420 2120712840