Search a number
-
+
1123520256 = 28323371447
BaseRepresentation
bin100001011110111…
…1000111100000000
32220022002202001100
41002331320330000
54300110122011
6303252534400
736561523155
oct10275707400
92808082040
101123520256
1152721a441
12274321400
1314b9c74b1
14a930222c
156897ed56
hex42f78f00

1123520256 has 108 divisors (see below), whose sum is σ = 3251243632. Its totient is φ = 373137408.

The previous prime is 1123520239. The next prime is 1123520273. The reversal of 1123520256 is 6520253211.

It is a happy number.

1123520256 is a `hidden beast` number, since 112 + 3 + 520 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1123520239) and next prime (1123520273).

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, 775725 + ... + 777171.

Almost surely, 21123520256 is an apocalyptic number.

1123520256 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 1123520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625621816).

1123520256 is an abundant number, since it is smaller than the sum of its proper divisors (2127723376).

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

1123520256 is a wasteful number, since it uses less digits than its factorization.

1123520256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1123520256 is about 33518.9536829538. The cubic root of 1123520256 is about 1039.5857127013.

Adding to 1123520256 its reverse (6520253211), we get a palindrome (7643773467).

The spelling of 1123520256 in words is "one billion, one hundred twenty-three million, five hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 337 384 576 674 768 1011 1152 1348 1447 2022 2304 2696 2894 3033 4044 4341 5392 5788 6066 8088 8682 10784 11576 12132 13023 16176 17364 21568 23152 24264 26046 32352 34728 43136 46304 48528 52092 64704 69456 86272 92608 97056 104184 129408 138912 185216 194112 208368 258816 277824 370432 388224 416736 487639 555648 776448 833472 975278 1111296 1462917 1666944 1950556 2925834 3333888 3901112 4388751 5851668 7802224 8777502 11703336 15604448 17555004 23406672 31208896 35110008 46813344 62417792 70220016 93626688 124835584 140440032 187253376 280880064 374506752 561760128 1123520256