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1139260032 = 27331719391
BaseRepresentation
bin100001111100111…
…1011101010000000
32221101201101222000
41003321323222000
54313122310112
6305014144000
740142356551
oct10371735200
92841641860
101139260032
1153509aa19
12279652000
13152048781
14ab43c328
156a03d7dc
hex43e7ba80

1139260032 has 128 divisors (see below), whose sum is σ = 3560371200. Its totient is φ = 357396480.

The previous prime is 1139260009. The next prime is 1139260037. The reversal of 1139260032 is 2300629311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1139259978 and 1139260005.

It is not an unprimeable number, because it can be changed into a prime (1139260037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49057 + ... + 68447.

It is an arithmetic number, because the mean of its divisors is an integer number (27815400).

Almost surely, 21139260032 is an apocalyptic number.

1139260032 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 1139260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780185600).

1139260032 is an abundant number, since it is smaller than the sum of its proper divisors (2421111168).

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

1139260032 is a wasteful number, since it uses less digits than its factorization.

1139260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19431 (or 19413 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1139260032 is about 33752.9262731396. The cubic root of 1139260032 is about 1044.4178536094.

Adding to 1139260032 its reverse (2300629311), we get a palindrome (3439889343).

The spelling of 1139260032 in words is "one billion, one hundred thirty-nine million, two hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19391 19584 29376 38782 58173 58752 77564 116346 155128 174519 232692 310256 329647 349038 465384 523557 620512 659294 698076 930768 988941 1047114 1241024 1318588 1396152 1861536 1977882 2094228 2482048 2637176 2792304 2966823 3723072 3955764 4188456 5274352 5584608 5933646 7446144 7911528 8376912 8900469 10548704 11169216 11867292 15823056 16753824 17800938 21097408 22338432 23734584 31646112 33507648 35601876 42194816 47469168 63292224 67015296 71203752 94938336 126584448 142407504 189876672 284815008 379753344 569630016 1139260032