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1119965904 = 243260112941
BaseRepresentation
bin100001011000001…
…0101001011010000
32220001102011101200
41002300111023100
54243202402104
6303044431200
736516360501
oct10260251320
92801364350
101119965904
11525211a62
122730a8500
1314b051725
14a8a58ba8
15684cbb39
hex42c152d0

1119965904 has 60 divisors (see below), whose sum is σ = 3139806852. Its totient is φ = 372672000.

The previous prime is 1119965893. The next prime is 1119965909. The reversal of 1119965904 is 4095699111.

It can be written as a sum of positive squares in 2 ways, for example, as 896403600 + 223562304 = 29940^2 + 14952^2 .

It is a super-2 number, since 2×11199659042 = 2508647252245074432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1119965904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1119965909) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 80074 + ... + 93014.

Almost surely, 21119965904 is an apocalyptic number.

It is an amenable number.

1119965904 is an abundant number, since it is smaller than the sum of its proper divisors (2019840948).

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

1119965904 is a wasteful number, since it uses less digits than its factorization.

1119965904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13556 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 1119965904 is about 33465.8916510527. The cubic root of 1119965904 is about 1038.4882819729.

The spelling of 1119965904 in words is "one billion, one hundred nineteen million, nine hundred sixty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 601 1202 1803 2404 3606 4808 5409 7212 9616 10818 12941 14424 21636 25882 28848 38823 43272 51764 77646 86544 103528 116469 155292 207056 232938 310584 465876 621168 931752 1863504 7777541 15555082 23332623 31110164 46665246 62220328 69997869 93330492 124440656 139995738 186660984 279991476 373321968 559982952 1119965904