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2030336532 = 2232740919699
BaseRepresentation
bin111100100000100…
…0111101000010100
312020111102210010100
41321001013220110
513124231232112
6533245054100
7101212401330
oct17101075024
95214383110
102030336532
11952087984
12487b57330
13264839583
141539147c0
15bd3a62dc
hex79047a14

2030336532 has 72 divisors (see below), whose sum is σ = 5880056000. Its totient is φ = 578648448.

The previous prime is 2030336513. The next prime is 2030336543. The reversal of 2030336532 is 2356330302.

2030336532 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 3 + 3 + 653 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2030336496 and 2030336505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93219 + ... + 112917.

Almost surely, 22030336532 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 2030336532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940028000).

2030336532 is an abundant number, since it is smaller than the sum of its proper divisors (3849719468).

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

2030336532 is a wasteful number, since it uses less digits than its factorization.

2030336532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20125 (or 20120 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 2030336532 is about 45059.2557861312. The cubic root of 2030336532 is about 1266.2593824753.

Adding to 2030336532 its reverse (2356330302), we get a palindrome (4386666834).

The spelling of 2030336532 in words is "two billion, thirty million, three hundred thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 409 818 1227 1636 2454 2863 3681 4908 5726 7362 8589 11452 14724 17178 19699 25767 34356 39398 51534 59097 78796 103068 118194 137893 177291 236388 275786 354582 413679 551572 709164 827358 1241037 1654716 2482074 4964148 8056891 16113782 24170673 32227564 48341346 56398237 72512019 96682692 112796474 145024038 169194711 225592948 290048076 338389422 507584133 676778844 1015168266 2030336532