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1014102420 = 223544937643
BaseRepresentation
bin111100011100011…
…111100110010100
32121200012201222220
4330130133212110
54034102234140
6244343422340
734062504552
oct7434374624
92550181886
101014102420
11480486181
122437549b0
13132137106
149897cbd2
155e069bd0
hex3c71f994

1014102420 has 48 divisors (see below), whose sum is σ = 2845886400. Its totient is φ = 269817856.

The previous prime is 1014102379. The next prime is 1014102433. The reversal of 1014102420 is 242014101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1014102420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8119 + ... + 45761.

It is an arithmetic number, because the mean of its divisors is an integer number (59289300).

Almost surely, 21014102420 is an apocalyptic number.

1014102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014102420 is an abundant number, since it is smaller than the sum of its proper divisors (1831783980).

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

1014102420 is a wasteful number, since it uses less digits than its factorization.

1014102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38104 (or 38102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1014102420 is about 31844.9747998016. The cubic root of 1014102420 is about 1004.6788805998.

Adding to 1014102420 its reverse (242014101), we get a palindrome (1256116521).

The spelling of 1014102420 in words is "one billion, fourteen million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 449 898 1347 1796 2245 2694 4490 5388 6735 8980 13470 26940 37643 75286 112929 150572 188215 225858 376430 451716 564645 752860 1129290 2258580 16901707 33803414 50705121 67606828 84508535 101410242 169017070 202820484 253525605 338034140 507051210 1014102420