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1420100838 = 2321350911923
BaseRepresentation
bin101010010100101…
…0000010011100110
310122222011121010100
41110221100103212
510402021211323
6352525404530
750122441452
oct12451202346
93588147110
101420100838
11669678862
12337709746
13198298a70
14d6865662
1584a15943
hex54a504e6

1420100838 has 48 divisors (see below), whose sum is σ = 3320357040. Its totient is φ = 436059072.

The previous prime is 1420100837. The next prime is 1420100839. The reversal of 1420100838 is 8380010241.

It is an interprime number because it is at equal distance from previous prime (1420100837) and next prime (1420100839).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420100833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113145 + ... + 125067.

It is an arithmetic number, because the mean of its divisors is an integer number (69174105).

Almost surely, 21420100838 is an apocalyptic number.

1420100838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420100838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660178520).

1420100838 is an abundant number, since it is smaller than the sum of its proper divisors (1900256202).

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

1420100838 is a wasteful number, since it uses less digits than its factorization.

1420100838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12453 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1420100838 is about 37684.2253204176. The cubic root of 1420100838 is about 1124.0174698509.

The spelling of 1420100838 in words is "one billion, four hundred twenty million, one hundred thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 509 1018 1527 3054 4581 6617 9162 11923 13234 19851 23846 35769 39702 59553 71538 107307 119106 154999 214614 309998 464997 929994 1394991 2789982 6068807 12137614 18206421 36412842 54619263 78894491 109238526 157788982 236683473 473366946 710050419 1420100838