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1379218896 = 2432112513469
BaseRepresentation
bin101001000110101…
…0011010111010000
310120010020120122100
41102031103113100
510311040001041
6344505240400
746115111226
oct12215232720
93503216570
101379218896
11648595630
12325a93100
1318c983973
14d1262b16
158113c6b6
hex523535d0

1379218896 has 120 divisors (see below), whose sum is σ = 4228791840. Its totient is φ = 416160000.

The previous prime is 1379218889. The next prime is 1379218913. The reversal of 1379218896 is 6988129731.

1379218896 is a `hidden beast` number, since 1 + 379 + 2 + 188 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395850 + ... + 399318.

It is an arithmetic number, because the mean of its divisors is an integer number (35239932).

Almost surely, 21379218896 is an apocalyptic number.

1379218896 is a gapful number since it is divisible by the number (16) 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 1379218896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114395920).

1379218896 is an abundant number, since it is smaller than the sum of its proper divisors (2849572944).

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

1379218896 is a wasteful number, since it uses less digits than its factorization.

1379218896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3736 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1379218896 is about 37137.8364474830. The cubic root of 1379218896 is about 1113.1261859775.

The spelling of 1379218896 in words is "one billion, three hundred seventy-nine million, two hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 251 264 396 502 528 753 792 1004 1506 1584 2008 2259 2761 3012 3469 4016 4518 5522 6024 6938 8283 9036 10407 11044 12048 13876 16566 18072 20814 22088 24849 27752 31221 33132 36144 38159 41628 44176 49698 55504 62442 66264 76318 83256 99396 114477 124884 132528 152636 166512 198792 228954 249768 305272 343431 397584 457908 499536 610544 686862 870719 915816 1373724 1741438 1831632 2612157 2747448 3482876 5224314 5494896 6965752 7836471 9577909 10448628 13931504 15672942 19155818 20897256 28733727 31345884 38311636 41794512 57467454 62691768 76623272 86201181 114934908 125383536 153246544 172402362 229869816 344804724 459739632 689609448 1379218896