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2010414320 = 245191322641
BaseRepresentation
bin111011111010100…
…0111110011110000
312012002221121222122
41313311013303300
513104131224240
6531254053412
7100551145145
oct16765076360
95162847878
102010414320
11941910042
1248134a268
13260682695
1415100a3cc
15bb76d4b5
hex77d47cf0

2010414320 has 40 divisors (see below), whose sum is σ = 4920228240. Its totient is φ = 761840640.

The previous prime is 2010414293. The next prime is 2010414347. The reversal of 2010414320 is 234140102.

It is an interprime number because it is at equal distance from previous prime (2010414293) and next prime (2010414347).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20104143202 = 8083531476122124800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659801 + ... + 662840.

It is an arithmetic number, because the mean of its divisors is an integer number (123005706).

Almost surely, 22010414320 is an apocalyptic number.

2010414320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010414320 is an abundant number, since it is smaller than the sum of its proper divisors (2909813920).

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

2010414320 is a wasteful number, since it uses less digits than its factorization.

2010414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322673 (or 1322667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2010414320 is about 44837.6440059020. The cubic root of 2010414320 is about 1262.1041352081.

Adding to 2010414320 its reverse (234140102), we get a palindrome (2244554422).

The spelling of 2010414320 in words is "two billion, ten million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1322641 2645282 5290564 6613205 10581128 13226410 21162256 25130179 26452820 50260358 52905640 100520716 105811280 125650895 201041432 251301790 402082864 502603580 1005207160 2010414320