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1420131104 = 257411011531
BaseRepresentation
bin101010010100101…
…0111101100100000
310122222020010122022
41110221113230200
510402023143404
6352530201012
750122625630
oct12451275440
93588203568
101420131104
11669699577
12337723168
131982a9782
14d68726c0
1584a1e8be
hex54a57b20

1420131104 has 96 divisors (see below), whose sum is σ = 3307796352. Its totient is φ = 587520000.

The previous prime is 1420131103. The next prime is 1420131107. The reversal of 1420131104 is 4011310241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1420131103) 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, 926819 + ... + 928349.

It is an arithmetic number, because the mean of its divisors is an integer number (34456212).

Almost surely, 21420131104 is an apocalyptic number.

1420131104 is a gapful number since it is divisible by the number (14) 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 1420131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653898176).

1420131104 is an abundant number, since it is smaller than the sum of its proper divisors (1887665248).

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

1420131104 is a wasteful number, since it uses less digits than its factorization.

1420131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1420131104 is about 37684.6268921426. The cubic root of 1420131104 is about 1124.0254550282.

Adding to 1420131104 its reverse (4011310241), we get a palindrome (5431441345).

The spelling of 1420131104 in words is "one billion, four hundred twenty million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 101 112 164 202 224 287 328 404 574 656 707 808 1148 1312 1414 1531 1616 2296 2828 3062 3232 4141 4592 5656 6124 8282 9184 10717 11312 12248 16564 21434 22624 24496 28987 33128 42868 48992 57974 62771 66256 85736 115948 125542 132512 154631 171472 231896 251084 309262 342944 439397 463792 502168 618524 878794 927584 1004336 1082417 1237048 1757588 2008672 2164834 2474096 3515176 4329668 4948192 6339871 7030352 8659336 12679742 14060704 17318672 25359484 34637344 44379097 50718968 88758194 101437936 177516388 202875872 355032776 710065552 1420131104