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1426026100 = 2252971131301
BaseRepresentation
bin101010011111111…
…0110111001110100
310200101022122001111
41110333312321310
510410030313400
6353300404404
750224010332
oct12477667164
93611278044
101426026100
11671a55574
123396a6704
13199591a35
14d7568b52
15852d63ba
hex54ff6e74

1426026100 has 72 divisors (see below), whose sum is σ = 3156469848. Its totient is φ = 559104000.

The previous prime is 1426026083. The next prime is 1426026101. The reversal of 1426026100 is 16206241.

It can be written as a sum of positive squares in 12 ways, for example, as 1292114916 + 133911184 = 35946^2 + 11572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426026101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095450 + ... + 1096750.

It is an arithmetic number, because the mean of its divisors is an integer number (43839859).

Almost surely, 21426026100 is an apocalyptic number.

1426026100 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 1426026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578234924).

1426026100 is an abundant number, since it is smaller than the sum of its proper divisors (1730443748).

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

1426026100 is a wasteful number, since it uses less digits than its factorization.

1426026100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1426026100 is about 37762.7607571269. The cubic root of 1426026100 is about 1125.5785929108.

The spelling of 1426026100 in words is "one billion, four hundred twenty-six million, twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 113 194 226 388 452 485 565 970 1130 1301 1940 2260 2425 2602 2825 4850 5204 5650 6505 9700 10961 11300 13010 21922 26020 32525 43844 54805 65050 109610 126197 130100 147013 219220 252394 274025 294026 504788 548050 588052 630985 735065 1096100 1261970 1470130 2523940 2940260 3154925 3675325 6309850 7350650 12619700 14260261 14701300 28520522 57041044 71301305 142602610 285205220 356506525 713013050 1426026100