Search a number
-
+
1356153260 = 2257111018719
BaseRepresentation
bin101000011010101…
…0100000110101100
310111111211201112112
41100311110012230
510234133401020
6342323023152
745415053410
oct12065240654
93444751475
101356153260
11636571020
1231a20aab8
13187c69067
14cc17ad40
157e0d32c5
hex50d541ac

1356153260 has 96 divisors (see below), whose sum is σ = 3586222080. Its totient is φ = 418464000.

The previous prime is 1356153259. The next prime is 1356153287. The reversal of 1356153260 is 623516531.

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, 151181 + ... + 159899.

It is an arithmetic number, because the mean of its divisors is an integer number (37356480).

Almost surely, 21356153260 is an apocalyptic number.

1356153260 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 1356153260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793111040).

1356153260 is an abundant number, since it is smaller than the sum of its proper divisors (2230068820).

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

1356153260 is a wasteful number, since it uses less digits than its factorization.

1356153260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 1356153260 is about 36825.9862053958. The cubic root of 1356153260 is about 1106.8860754708.

Adding to 1356153260 its reverse (623516531), we get a palindrome (1979669791).

The spelling of 1356153260 in words is "one billion, three hundred fifty-six million, one hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 8719 11110 14140 15554 17438 22220 31108 34876 38885 43595 61033 77770 87190 95909 122066 155540 174380 191818 244132 305165 383636 479545 610330 671363 880619 959090 1220660 1342726 1761238 1918180 2685452 3356815 3522476 4403095 6164333 6713630 8806190 9686809 12328666 13427260 17612380 19373618 24657332 30821665 38747236 48434045 61643330 67807663 96868090 123286660 135615326 193736180 271230652 339038315 678076630 1356153260