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1116453376 = 29171943157
BaseRepresentation
bin100001010001011…
…1011101000000000
32212210210201010001
41002202323220000
54241303002001
6302441245344
736444461053
oct10242735000
92783721101
101116453376
11523232a45
12271a93854
1314a3c19cc
14a83c2a9a
1568036001
hex428bba00

1116453376 has 160 divisors (see below), whose sum is σ = 2560282560. Its totient is φ = 483065856.

The previous prime is 1116453343. The next prime is 1116453383. The reversal of 1116453376 is 6733546111.

It is a congruent number.

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, 7111090 + ... + 7111246.

It is an arithmetic number, because the mean of its divisors is an integer number (16001766).

Almost surely, 21116453376 is an apocalyptic number.

1116453376 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 1116453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280141280).

1116453376 is an abundant number, since it is smaller than the sum of its proper divisors (1443829184).

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

1116453376 is a wasteful number, since it uses less digits than its factorization.

1116453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 1116453376 is about 33413.3712157274. The cubic root of 1116453376 is about 1037.4014812534.

Adding to 1116453376 its reverse (6733546111), we get a palindrome (7849999487).

The spelling of 1116453376 in words is "one billion, one hundred sixteen million, four hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 43 64 68 76 86 128 136 152 157 172 256 272 304 314 323 344 512 544 608 628 646 688 731 817 1088 1216 1256 1292 1376 1462 1634 2176 2432 2512 2584 2669 2752 2924 2983 3268 4352 4864 5024 5168 5338 5504 5848 5966 6536 6751 8704 9728 10048 10336 10676 11008 11696 11932 13072 13502 13889 20096 20672 21352 22016 23392 23864 26144 27004 27778 40192 41344 42704 46784 47728 50711 52288 54008 55556 80384 82688 85408 93568 95456 101422 104576 108016 111112 114767 128269 165376 170816 187136 190912 202844 209152 216032 222224 229534 256538 341632 374272 381824 405688 418304 432064 444448 459068 513076 683264 763648 811376 864128 888896 918136 1026152 1366528 1527296 1622752 1728256 1777792 1836272 2052304 2180573 3245504 3456512 3555584 3672544 4104608 4361146 6491008 7111168 7345088 8209216 8722292 12982016 14690176 16418432 17444584 25964032 29380352 32836864 34889168 58760704 65673728 69778336 139556672 279113344 558226688 1116453376