Search a number
-
+
1130861056 = 2913238389
BaseRepresentation
bin100001101100111…
…1001001000000000
32220210220200201211
41003121321020000
54304000023211
6304114135504
740011106003
oct10331711000
92823820654
101130861056
11530383716
12276881594
13150397870
14aa29353a
156942ee21
hex43679200

1130861056 has 160 divisors (see below), whose sum is σ = 2598583680. Its totient is φ = 487686144.

The previous prime is 1130861047. The next prime is 1130861071. The reversal of 1130861056 is 6501680311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12706260 + ... + 12706348.

It is an arithmetic number, because the mean of its divisors is an integer number (16241148).

Almost surely, 21130861056 is an apocalyptic number.

1130861056 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 1130861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299291840).

1130861056 is an abundant number, since it is smaller than the sum of its proper divisors (1467722624).

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

1130861056 is an equidigital number, since it uses as much as digits as its factorization.

1130861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1130861056 is about 33628.2776246420. The cubic root of 1130861056 is about 1041.8449303391.

The spelling of 1130861056 in words is "one billion, one hundred thirty million, eight hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 83 89 92 104 128 166 178 184 208 256 299 332 356 368 416 512 598 664 712 736 832 1079 1157 1196 1328 1424 1472 1664 1909 2047 2158 2314 2392 2656 2848 2944 3328 3818 4094 4316 4628 4784 5312 5696 5888 6656 7387 7636 8188 8632 9256 9568 10624 11392 11776 14774 15272 16376 17264 18512 19136 21248 22784 24817 26611 29548 30544 32752 34528 37024 38272 42496 45568 49634 53222 59096 61088 65504 69056 74048 76544 96031 99268 106444 118192 122176 131008 138112 148096 153088 169901 192062 198536 212888 236384 244352 262016 276224 296192 339802 384124 397072 425776 472768 488704 524032 552448 592384 679604 768248 794144 851552 945536 977408 1048064 1359208 1536496 1588288 1703104 1891072 2208713 2718416 3072992 3176576 3406208 3782144 4417426 5436832 6145984 6353152 6812416 8834852 10873664 12291968 12706304 13624832 17669704 21747328 24583936 35339408 43494656 49167872 70678816 86989312 141357632 282715264 565430528 1130861056