Search a number
-
+
1339381500 = 223533724133
BaseRepresentation
bin100111111010101…
…0101011011111100
310110100021122000020
41033311111123330
510220340202000
6340523332140
745122361222
oct11765253374
93410248006
101339381500
11628056166
12314681050
13184646142
14c9c52b12
157c8bdba0
hex4fd556fc

1339381500 has 96 divisors (see below), whose sum is σ = 4005857856. Its totient is φ = 347500800.

The previous prime is 1339381489. The next prime is 1339381507. The reversal of 1339381500 is 51839331.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339381507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43434 + ... + 67566.

It is an arithmetic number, because the mean of its divisors is an integer number (41727686).

Almost surely, 21339381500 is an apocalyptic number.

1339381500 is a gapful number since it is divisible by the number (10) 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 1339381500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002928928).

1339381500 is an abundant number, since it is smaller than the sum of its proper divisors (2666476356).

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

1339381500 is a wasteful number, since it uses less digits than its factorization.

1339381500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24192 (or 24180 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1339381500 is about 36597.5613941694. The cubic root of 1339381500 is about 1102.3041234483.

The spelling of 1339381500 in words is "one billion, three hundred thirty-nine million, three hundred eighty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 375 444 500 555 740 750 925 1110 1500 1850 2220 2775 3700 4625 5550 9250 11100 13875 18500 24133 27750 48266 55500 72399 96532 120665 144798 241330 289596 361995 482660 603325 723990 892921 1206650 1447980 1785842 1809975 2413300 2678763 3016625 3571684 3619950 4464605 5357526 6033250 7239900 8929210 9049875 10715052 12066500 13393815 17858420 18099750 22323025 26787630 36199500 44646050 53575260 66969075 89292100 111615125 133938150 223230250 267876300 334845375 446460500 669690750 1339381500