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1426920096 = 25373757389
BaseRepresentation
bin101010100001101…
…0001001010100000
310200110000001101110
41111003101022200
510410242420341
6353331503320
750234422620
oct12503211240
93613001343
101426920096
11672506208
12339a57b40
13199815924
14d771c880
1585411216
hex550d12a0

1426920096 has 96 divisors (see below), whose sum is σ = 4396533120. Its totient is φ = 396665856.

The previous prime is 1426920073. The next prime is 1426920101. The reversal of 1426920096 is 6900296241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14269200962 = 4072201920737298432, which contains 22 as substring.

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, 3831 + ... + 53558.

It is an arithmetic number, because the mean of its divisors is an integer number (45797220).

Almost surely, 21426920096 is an apocalyptic number.

1426920096 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 1426920096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198266560).

1426920096 is an abundant number, since it is smaller than the sum of its proper divisors (2969613024).

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

1426920096 is a wasteful number, since it uses less digits than its factorization.

1426920096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57446 (or 57438 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1426920096 is about 37774.5959078320. The cubic root of 1426920096 is about 1125.8137575063.

The spelling of 1426920096 in words is "one billion, four hundred twenty-six million, nine hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 12432 24864 57389 114778 172167 229556 344334 401723 459112 688668 803446 918224 1205169 1377336 1606892 1836448 2123393 2410338 2754672 3213784 4246786 4820676 5509344 6370179 6427568 8493572 9641352 12740358 12855136 14863751 16987144 19282704 25480716 29727502 33974288 38565408 44591253 50961432 59455004 67948576 89182506 101922864 118910008 178365012 203845728 237820016 356730024 475640032 713460048 1426920096