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1426371760 = 245115632879
BaseRepresentation
bin101010100000100…
…1011010010110000
310200101222012012201
41111001023102300
510410122344020
6353312032544
750226650152
oct12501132260
93611865181
101426371760
11672171240
12339832754
13199683178
14d7618ad2
1585353a0a
hex5504b4b0

1426371760 has 80 divisors (see below), whose sum is σ = 3625482240. Its totient is φ = 517579520.

The previous prime is 1426371733. The next prime is 1426371763. The reversal of 1426371760 is 671736241.

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

It is a super-3 number, since 3×14263717603 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1426371763) 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, 494001 + ... + 496879.

It is an arithmetic number, because the mean of its divisors is an integer number (45318528).

Almost surely, 21426371760 is an apocalyptic number.

1426371760 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 1426371760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812741120).

1426371760 is an abundant number, since it is smaller than the sum of its proper divisors (2199110480).

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

1426371760 is a wasteful number, since it uses less digits than its factorization.

1426371760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 1426371760 is about 37767.3372108757. The cubic root of 1426371760 is about 1125.6695300180.

The spelling of 1426371760 in words is "one billion, four hundred twenty-six million, three hundred seventy-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 563 880 1126 2252 2815 2879 4504 5630 5758 6193 9008 11260 11516 12386 14395 22520 23032 24772 28790 30965 31669 45040 46064 49544 57580 61930 63338 99088 115160 123860 126676 158345 230320 247720 253352 316690 495440 506704 633380 1266760 1620877 2533520 3241754 6483508 8104385 12967016 16208770 17829647 25934032 32417540 35659294 64835080 71318588 89148235 129670160 142637176 178296470 285274352 356592940 713185880 1426371760