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1139240448 = 29321714543
BaseRepresentation
bin100001111100111…
…0110111000000000
32221101200102002200
41003321312320000
54313121143243
6305013513200
740142245503
oct10371667000
92841612080
101139240448
11535087235
12279642800
1315203c898
14ab43513a
156a037ad3
hex43e76e00

1139240448 has 120 divisors (see below), whose sum is σ = 3481571808. Its totient is φ = 357384192.

The previous prime is 1139240447. The next prime is 1139240503. The reversal of 1139240448 is 8440429311.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139240447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71065 + ... + 85607.

Almost surely, 21139240448 is an apocalyptic number.

1139240448 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 1139240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740785904).

1139240448 is an abundant number, since it is smaller than the sum of its proper divisors (2342331360).

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

1139240448 is a wasteful number, since it uses less digits than its factorization.

1139240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14584 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1139240448 is about 33752.6361637132. The cubic root of 1139240448 is about 1044.4118690241.

Adding to 1139240448 its reverse (8440429311), we get a palindrome (9579669759).

The spelling of 1139240448 in words is "one billion, one hundred thirty-nine million, two hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 14543 19584 26112 29086 39168 43629 58172 78336 87258 116344 130887 174516 232688 247231 261774 349032 465376 494462 523548 698064 741693 930752 988924 1047096 1396128 1483386 1861504 1977848 2094192 2225079 2792256 2966772 3723008 3955696 4188384 4450158 5584512 5933544 7446016 7911392 8376768 8900316 11169024 11867088 15822784 16753536 17800632 22338048 23734176 31645568 33507072 35601264 47468352 63291136 67014144 71202528 94936704 126582272 142405056 189873408 284810112 379746816 569620224 1139240448