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1131320624 = 247217292927
BaseRepresentation
bin100001101101110…
…1001010100110000
32220211210001010212
41003123221110300
54304104224444
6304132043252
740015031600
oct10333512460
92824701125
101131320624
11530667a25
12276a63528
131504c8ab5
14aa372c00
15694c119e
hex436e9530

1131320624 has 120 divisors (see below), whose sum is σ = 2793839040. Its totient is φ = 440444928.

The previous prime is 1131320623. The next prime is 1131320681. The reversal of 1131320624 is 4260231311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131320624.

It is not an unprimeable number, because it can be changed into a prime (1131320623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385049 + ... + 387975.

It is an arithmetic number, because the mean of its divisors is an integer number (23281992).

Almost surely, 21131320624 is an apocalyptic number.

1131320624 is a gapful number since it is divisible by the number (14) 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 1131320624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396919520).

1131320624 is an abundant number, since it is smaller than the sum of its proper divisors (1662518416).

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

1131320624 is a wasteful number, since it uses less digits than its factorization.

1131320624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1131320624 is about 33635.1099894143. The cubic root of 1131320624 is about 1041.9860422065.

Adding to 1131320624 its reverse (4260231311), we get a palindrome (5391551935).

The spelling of 1131320624 in words is "one billion, one hundred thirty-one million, three hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 49 56 58 68 98 112 116 119 136 196 203 232 238 272 392 406 464 476 493 784 812 833 952 986 1421 1624 1666 1904 1972 2842 2927 3248 3332 3451 3944 5684 5854 6664 6902 7888 11368 11708 13328 13804 20489 22736 23416 24157 27608 40978 46832 48314 49759 55216 81956 84883 96628 99518 143423 163912 169766 193256 199036 286846 327824 339532 348313 386512 398072 573692 594181 679064 696626 796144 1147384 1188362 1358128 1393252 1443011 2294768 2376724 2438191 2786504 2886022 4159267 4753448 4876382 5573008 5772044 8318534 9506896 9752764 10101077 11544088 16637068 19505528 20202154 23088176 33274136 39011056 40404308 66548272 70707539 80808616 141415078 161617232 282830156 565660312 1131320624