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1131064256 = 26721013571
BaseRepresentation
bin100001101101010…
…1010101111000000
32220211022000110202
41003122222233000
54304023024011
6304122344332
740012613300
oct10332525700
92824260422
101131064256
11530502353
1227695b0a8
131504391ba
14aa307600
156947023b
hex436aabc0

1131064256 has 84 divisors (see below), whose sum is σ = 2637486216. Its totient is φ = 479808000.

The previous prime is 1131064241. The next prime is 1131064283. The reversal of 1131064256 is 6524601311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314951 + ... + 318521.

Almost surely, 21131064256 is an apocalyptic number.

1131064256 is a gapful number since it is divisible by the number (16) 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 1131064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318743108).

1131064256 is an abundant number, since it is smaller than the sum of its proper divisors (1506421960).

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

1131064256 is a wasteful number, since it uses less digits than its factorization.

1131064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1131064256 is about 33631.2987557721. The cubic root of 1131064256 is about 1041.9073282821.

Adding to 1131064256 its reverse (6524601311), we get a palindrome (7655665567).

The spelling of 1131064256 in words is "one billion, one hundred thirty-one million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 196 202 224 392 404 448 707 784 808 1414 1568 1616 2828 3136 3232 3571 4949 5656 6464 7142 9898 11312 14284 19796 22624 24997 28568 39592 45248 49994 57136 79184 99988 114272 158368 174979 199976 228544 316736 349958 360671 399952 699916 721342 799904 1399832 1442684 1599808 2524697 2799664 2885368 5049394 5599328 5770736 10098788 11198656 11541472 17672879 20197576 23082944 35345758 40395152 70691516 80790304 141383032 161580608 282766064 565532128 1131064256