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1426380160 = 27519412861
BaseRepresentation
bin101010100000100…
…1101010110000000
310200101222121201211
41111001031112000
510410123131120
6353312135504
750230013512
oct12501152600
93611877654
101426380160
11672177587
12339837594
13199686c3a
14d761bbb2
158535625a
hex5504d580

1426380160 has 128 divisors (see below), whose sum is σ = 3678242400. Its totient is φ = 527155200.

The previous prime is 1426380113. The next prime is 1426380173. The reversal of 1426380160 is 610836241.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 497130 + ... + 499990.

Almost surely, 21426380160 is an apocalyptic number.

1426380160 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 1426380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839121200).

1426380160 is an abundant number, since it is smaller than the sum of its proper divisors (2251862240).

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

1426380160 is a wasteful number, since it uses less digits than its factorization.

1426380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1426380160 is about 37767.4484179167. The cubic root of 1426380160 is about 1125.6717397284.

The spelling of 1426380160 in words is "one billion, four hundred twenty-six million, three hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 205 304 320 328 380 410 608 640 656 760 779 820 1216 1312 1520 1558 1640 2432 2624 2861 3040 3116 3280 3895 5248 5722 6080 6232 6560 7790 11444 12160 12464 13120 14305 15580 22888 24928 26240 28610 31160 45776 49856 54359 57220 62320 91552 99712 108718 114440 117301 124640 183104 217436 228880 234602 249280 271795 366208 434872 457760 469204 498560 543590 586505 869744 915520 938408 1087180 1173010 1739488 1831040 1876816 2174360 2228719 2346020 3478976 3753632 4348720 4457438 4692040 6957952 7507264 8697440 8914876 9384080 11143595 15014528 17394880 17829752 18768160 22287190 34789760 35659504 37536320 44574380 71319008 75072640 89148760 142638016 178297520 285276032 356595040 713190080 1426380160