Search a number
-
+
2141932104 = 2332133173819
BaseRepresentation
bin111111110101011…
…0100101001001000
312112021102102110200
41333222310221020
513341313311404
6552313012200
7104036060004
oct17752645110
95467372420
102141932104
119aa079324
124b93b4060
132819acc60
14164683704
15c809b839
hex7fab4a48

2141932104 has 96 divisors (see below), whose sum is σ = 6448915200. Its totient is φ = 637787520.

The previous prime is 2141932103. The next prime is 2141932123. The reversal of 2141932104 is 4012391412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2141932103) 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, 7894 + ... + 65925.

It is an arithmetic number, because the mean of its divisors is an integer number (67176200).

Almost surely, 22141932104 is an apocalyptic number.

2141932104 is a gapful number since it is divisible by the number (24) 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 2141932104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224457600).

2141932104 is an abundant number, since it is smaller than the sum of its proper divisors (4306983096).

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

2141932104 is a wasteful number, since it uses less digits than its factorization.

2141932104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73875 (or 73868 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2141932104 is about 46281.0123484783. The cubic root of 2141932104 is about 1289.0464487372.

The spelling of 2141932104 in words is "two billion, one hundred forty-one million, nine hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 73819 147638 221457 295276 442914 590552 664371 885828 959647 1328742 1771656 1919294 2288389 2657484 2878941 3838588 4576778 5314968 5757882 6865167 7677176 8636823 9153556 11515764 13730334 17273646 18307112 20595501 23031528 27460668 29749057 34547292 41191002 54921336 59498114 69094584 82382004 89247171 118996228 164764008 178494342 237992456 267741513 356988684 535483026 713977368 1070966052 2141932104