Search a number
-
+
2128830840 = 2332529203911
BaseRepresentation
bin111111011100011…
…0110000101111000
312111100202210220200
41332320312011320
513324440041330
6551124122200
7103516522623
oct17670660570
95440683820
102128830840
119a2740134
124b4b36360
1327c073926
14162a32dba
15c6d5ea60
hex7ee36178

2128830840 has 96 divisors (see below), whose sum is σ = 7157311200. Its totient is φ = 548110080.

The previous prime is 2128830817. The next prime is 2128830857. The reversal of 2128830840 is 480388212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2128830795 and 2128830804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91516 + ... + 112395.

It is an arithmetic number, because the mean of its divisors is an integer number (74555325).

Almost surely, 22128830840 is an apocalyptic number.

2128830840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2128830840 is an abundant number, since it is smaller than the sum of its proper divisors (5028480360).

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

2128830840 is a wasteful number, since it uses less digits than its factorization.

2128830840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203957 (or 203950 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2128830840 is about 46139.2548704463. The cubic root of 2128830840 is about 1286.4128937735.

The spelling of 2128830840 in words is "two billion, one hundred twenty-eight million, eight hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 203911 407822 611733 815644 1019555 1223466 1631288 1835199 2039110 2446932 3058665 3670398 4078220 4893864 5913419 6117330 7340796 8156440 9175995 11826838 12234660 14681592 17740257 18351990 23653676 24469320 29567095 35480514 36703980 47307352 53220771 59134190 70961028 73407960 88701285 106441542 118268380 141922056 177402570 212883084 236536760 266103855 354805140 425766168 532207710 709610280 1064415420 2128830840