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2013043420 = 225415941609
BaseRepresentation
bin111011111111100…
…1001101011011100
312012021220012102201
41313333021223130
513110314342140
6531430301244
7100612405153
oct16777115334
95167805381
102013043420
11943346353
124821b7824
1326109326b
141514d259a
15bbadc49a
hex77fc9adc

2013043420 has 48 divisors (see below), whose sum is σ = 4404002400. Its totient is φ = 772244480.

The previous prime is 2013043411. The next prime is 2013043429. The reversal of 2013043420 is 243403102.

It is an interprime number because it is at equal distance from previous prime (2013043411) and next prime (2013043429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013043429) 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, 27576 + ... + 69184.

It is an arithmetic number, because the mean of its divisors is an integer number (91750050).

Almost surely, 22013043420 is an apocalyptic number.

2013043420 is a gapful number since it is divisible by the number (20) 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 2013043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202001200).

2013043420 is an abundant number, since it is smaller than the sum of its proper divisors (2390958980).

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

2013043420 is a wasteful number, since it uses less digits than its factorization.

2013043420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41718 (or 41716 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2013043420 is about 44866.9524260340. The cubic root of 2013043420 is about 1262.6540637397.

Adding to 2013043420 its reverse (243403102), we get a palindrome (2256446522).

The spelling of 2013043420 in words is "two billion, thirteen million, forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4838 9676 12095 24190 41609 48380 83218 166436 208045 416090 832180 1705969 2454931 3411938 4909862 6823876 8529845 9819724 12274655 17059690 24549310 34119380 49098620 100652171 201304342 402608684 503260855 1006521710 2013043420