Search a number
-
+
2032404140 = 225132976199
BaseRepresentation
bin111100100100100…
…0000011010101100
312020122022211100102
41321021000122230
513130243413030
6533401250232
7101236102334
oct17111003254
95218284312
102032404140
1195326a348
12488793978
132650b1700
14153cd20c4
15bd663c45
hex792406ac

2032404140 has 72 divisors (see below), whose sum is σ = 4670013600. Its totient is φ = 742569984.

The previous prime is 2032404133. The next prime is 2032404167. The reversal of 2032404140 is 414042302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 324761 + ... + 330959.

It is an arithmetic number, because the mean of its divisors is an integer number (64861300).

Almost surely, 22032404140 is an apocalyptic number.

2032404140 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 2032404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335006800).

2032404140 is an abundant number, since it is smaller than the sum of its proper divisors (2637609460).

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

2032404140 is a wasteful number, since it uses less digits than its factorization.

2032404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2032404140 is about 45082.1931587184. The cubic root of 2032404140 is about 1266.6890714720.

Adding to 2032404140 its reverse (414042302), we get a palindrome (2446446442).

The spelling of 2032404140 in words is "two billion, thirty-two million, four hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 169 194 260 338 388 485 676 845 970 1261 1690 1940 2522 3380 5044 6199 6305 12398 12610 16393 24796 25220 30995 32786 61990 65572 80587 81965 123980 161174 163930 322348 327860 402935 601303 805870 1047631 1202606 1611740 2095262 2405212 3006515 4190524 5238155 6013030 7816939 10476310 12026060 15633878 20952620 31267756 39084695 78169390 101620207 156338780 203240414 406480828 508101035 1016202070 2032404140