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1321001424 = 243227133851
BaseRepresentation
bin100111010111100…
…1110000111010000
310102001200211021200
41032233032013100
510201134021144
6335025351200
744510220051
oct11657160720
93361624250
101321001424
11618741a16
1230a498500
131808ac162
14c762a728
157ae8cc69
hex4ebce1d0

1321001424 has 60 divisors (see below), whose sum is σ = 3710720832. Its totient is φ = 438696000.

The previous prime is 1321001399. The next prime is 1321001447. The reversal of 1321001424 is 4241001231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1321001397 and 1321001406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22099 + ... + 55949.

Almost surely, 21321001424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855360416).

1321001424 is an abundant number, since it is smaller than the sum of its proper divisors (2389719408).

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

1321001424 is a wasteful number, since it uses less digits than its factorization.

1321001424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34136 (or 34127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1321001424 is about 36345.5832805033. The cubic root of 1321001424 is about 1097.2386452594.

Adding to 1321001424 its reverse (4241001231), we get a palindrome (5562002655).

The spelling of 1321001424 in words is "one billion, three hundred twenty-one million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 1084 1626 2168 2439 3252 4336 4878 6504 9756 13008 19512 33851 39024 67702 101553 135404 203106 270808 304659 406212 541616 609318 812424 1218636 1624848 2437272 4874544 9173621 18347242 27520863 36694484 55041726 73388968 82562589 110083452 146777936 165125178 220166904 330250356 440333808 660500712 1321001424