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1335000420 = 22335131910009
BaseRepresentation
bin100111110010010…
…0111110101100100
310110001001001022000
41033210213311210
510213230003140
6340245405300
745040213335
oct11744476544
93401031260
101335000420
11625633636
12313109830
13183770ca0
14c943228c
157c305a30
hex4f927d64

1335000420 has 192 divisors, whose sum is σ = 4708704000. Its totient is φ = 311288832.

The previous prime is 1335000397. The next prime is 1335000451. The reversal of 1335000420 is 240005331.

It is a super-2 number, since 2×13350004202 = 3564452242800352800, which contains 22 as substring.

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 = 1335000393 and 1335000402.

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 63 ways as a sum of consecutive naturals, for example, 128376 + ... + 138384.

It is an arithmetic number, because the mean of its divisors is an integer number (24524500).

Almost surely, 21335000420 is an apocalyptic number.

1335000420 is a gapful number since it is divisible by the number (10) 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 1335000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354352000).

1335000420 is an abundant number, since it is smaller than the sum of its proper divisors (3373703580).

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

1335000420 is a wasteful number, since it uses less digits than its factorization.

1335000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10059 (or 10051 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1335000420 is about 36537.6575603856. The cubic root of 1335000420 is about 1101.1009418251.

Adding to 1335000420 its reverse (240005331), we get a palindrome (1575005751).

The spelling of 1335000420 in words is "one billion, three hundred thirty-five million, four hundred twenty", and thus it is an aban number.