Search a number
-
+
1353025140 = 2235236116073
BaseRepresentation
bin101000010100101…
…1000011001110100
310111021221210120020
41100221120121310
510232333301030
6342132005140
745346344465
oct12051303164
93437853506
101353025140
116348248a5
123191607b0
131874122bc
14cb9a4d6c
157dbb6510
hex50a58674

1353025140 has 96 divisors (see below), whose sum is σ = 4018242816. Its totient is φ = 339440640.

The previous prime is 1353025129. The next prime is 1353025153. The reversal of 1353025140 is 415203531.

It is a self number, because there is not a number n which added to its sum of digits gives 1353025140.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 76144 + ... + 92216.

It is an arithmetic number, because the mean of its divisors is an integer number (41856696).

Almost surely, 21353025140 is an apocalyptic number.

1353025140 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 1353025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009121408).

1353025140 is an abundant number, since it is smaller than the sum of its proper divisors (2665217676).

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

1353025140 is a wasteful number, since it uses less digits than its factorization.

1353025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16169 (or 16167 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1353025140 is about 36783.4900464869. The cubic root of 1353025140 is about 1106.0343678791.

Adding to 1353025140 its reverse (415203531), we get a palindrome (1768228671).

The spelling of 1353025140 in words is "one billion, three hundred fifty-three million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 61 69 92 115 122 138 183 230 244 276 305 345 366 460 610 690 732 915 1220 1380 1403 1830 2806 3660 4209 5612 7015 8418 14030 16073 16836 21045 28060 32146 42090 48219 64292 80365 84180 96438 160730 192876 241095 321460 369679 482190 739358 964380 980453 1109037 1478716 1848395 1960906 2218074 2941359 3696790 3921812 4436148 4902265 5545185 5882718 7393580 9804530 11090370 11765436 14706795 19609060 22180740 22550419 29413590 45100838 58827180 67651257 90201676 112752095 135302514 225504190 270605028 338256285 451008380 676512570 1353025140