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1140814368 = 2534716199
BaseRepresentation
bin100001111111111…
…0111001000100000
32221111122101010000
41003333313020200
54314022024433
6305111340000
740161522261
oct10377671040
92844571100
101140814368
11535a617a1
1227a081600
131524710b5
14ab724968
156a249113
hex43ff7220

1140814368 has 120 divisors (see below), whose sum is σ = 3402907200. Its totient is φ = 374855040.

The previous prime is 1140814361. The next prime is 1140814369. The reversal of 1140814368 is 8634180411.

It is a happy number.

1140814368 is a `hidden beast` number, since 1 + 140 + 81 + 436 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1140814361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180933 + ... + 187131.

It is an arithmetic number, because the mean of its divisors is an integer number (28357560).

Almost surely, 21140814368 is an apocalyptic number.

1140814368 is a gapful number since it is divisible by the number (18) 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 1140814368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701453600).

1140814368 is an abundant number, since it is smaller than the sum of its proper divisors (2262092832).

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

1140814368 is an equidigital number, since it uses as much as digits as its factorization.

1140814368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1140814368 is about 33775.9436285650. The cubic root of 1140814368 is about 1044.8926174924.

Adding to 1140814368 its reverse (8634180411), we get a palindrome (9774994779).

The spelling of 1140814368 in words is "one billion, one hundred forty million, eight hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6199 6816 7668 10224 11502 12398 15336 18597 20448 23004 24796 30672 37194 46008 49592 55791 61344 74388 92016 99184 111582 148776 167373 184032 198368 223164 297552 334746 440129 446328 502119 595104 669492 880258 892656 1004238 1320387 1338984 1760516 1785312 2008476 2640774 2677968 3521032 3961161 4016952 5281548 5355936 7042064 7922322 8033904 10563096 11883483 14084128 15844644 16067808 21126192 23766966 31689288 35650449 42252384 47533932 63378576 71300898 95067864 126757152 142601796 190135728 285203592 380271456 570407184 1140814368