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1218873840 = 243545711113
BaseRepresentation
bin100100010100110…
…1000100111110000
310010221112012120120
41020221220213300
54444012430330
6320540410240
742130154022
oct11051504760
93127465516
101218873840
11576027a58
122a0246980
131656a2132
14b7c44012
1572017c10
hex48a689f0

1218873840 has 80 divisors (see below), whose sum is σ = 3787117728. Its totient is φ = 324292608.

The previous prime is 1218873839. The next prime is 1218873853. The reversal of 1218873840 is 483788121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1218873792 and 1218873801.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 104124 + ... + 115236.

Almost surely, 21218873840 is an apocalyptic number.

1218873840 is a gapful number since it is divisible by the number (10) 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 1218873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893558864).

1218873840 is an abundant number, since it is smaller than the sum of its proper divisors (2568243888).

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

1218873840 is a wasteful number, since it uses less digits than its factorization.

1218873840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11586 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 1218873840 is about 34912.3737376879. The cubic root of 1218873840 is about 1068.2008487582.

The spelling of 1218873840 in words is "one billion, two hundred eighteen million, eight hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 457 914 1371 1828 2285 2742 3656 4570 5484 6855 7312 9140 10968 11113 13710 18280 21936 22226 27420 33339 36560 44452 54840 55565 66678 88904 109680 111130 133356 166695 177808 222260 266712 333390 444520 533424 666780 889040 1333560 2667120 5078641 10157282 15235923 20314564 25393205 30471846 40629128 50786410 60943692 76179615 81258256 101572820 121887384 152359230 203145640 243774768 304718460 406291280 609436920 1218873840