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1118139792 = 2437112831069
BaseRepresentation
bin100001010100101…
…0111010110010000
32212220222101102220
41002221113112100
54242220433132
6302541341040
736465013530
oct10251272620
92786871386
101118139792
11524184a80
12272567780
1314a8624a3
14a87014c0
156826aa2c
hex42a57590

1118139792 has 160 divisors (see below), whose sum is σ = 3617387520. Its totient is φ = 289128960.

The previous prime is 1118139787. The next prime is 1118139817. The reversal of 1118139792 is 2979318111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045434 + ... + 1046502.

It is an arithmetic number, because the mean of its divisors is an integer number (22608672).

Almost surely, 21118139792 is an apocalyptic number.

1118139792 is a gapful number since it is divisible by the number (12) 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 1118139792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808693760).

1118139792 is an abundant number, since it is smaller than the sum of its proper divisors (2499247728).

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

1118139792 is a wasteful number, since it uses less digits than its factorization.

1118139792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1375 counting only the distinct ones).

The product of its digits is 27216, while the sum is 42.

The square root of 1118139792 is about 33438.5973390033. The cubic root of 1118139792 is about 1037.9235542025.

The spelling of 1118139792 in words is "one billion, one hundred eighteen million, one hundred thirty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 283 308 336 462 528 566 616 849 924 1069 1132 1232 1698 1848 1981 2138 2264 3113 3207 3396 3696 3962 4276 4528 5943 6226 6414 6792 7483 7924 8552 9339 11759 11886 12452 12828 13584 14966 15848 17104 18678 21791 22449 23518 23772 24904 25656 29932 31696 35277 37356 43582 44898 47036 47544 49808 51312 59864 65373 70554 74712 82313 87164 89796 94072 95088 119728 130746 141108 149424 164626 174328 179592 188144 246939 261492 282216 302527 329252 348656 359184 493878 522984 564432 605054 658504 907581 987756 1045968 1210108 1317008 1815162 1975512 2117689 2420216 3327797 3630324 3951024 4235378 4840432 6353067 6655594 7260648 8470756 9983391 12706134 13311188 14521296 16941512 19966782 23294579 25412268 26622376 33883024 39933564 46589158 50824536 53244752 69883737 79867128 93178316 101649072 139767474 159734256 186356632 279534948 372713264 559069896 1118139792