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2012304132 = 2232238232953
BaseRepresentation
bin111011111110001…
…0101001100000100
312012020111122022200
41313330111030010
513110122213012
6531402354500
7100603205616
oct16774251404
95166448280
102012304132
11942990973
12481abba30
13260b94907
1415137cdb6
15bb9e33dc
hex77f15304

2012304132 has 72 divisors (see below), whose sum is σ = 5316065664. Its totient is φ = 640607616.

The previous prime is 2012304101. The next prime is 2012304137. The reversal of 2012304132 is 2314032102.

2012304132 is a `hidden beast` number, since 20 + 1 + 230 + 413 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2012304137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679968 + ... + 682920.

Almost surely, 22012304132 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 2012304132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658032832).

2012304132 is an abundant number, since it is smaller than the sum of its proper divisors (3303761532).

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

2012304132 is a wasteful number, since it uses less digits than its factorization.

2012304132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2012304132 is about 44858.7129998175. The cubic root of 2012304132 is about 1262.4994753715.

Adding to 2012304132 its reverse (2314032102), we get a palindrome (4326336234).

The spelling of 2012304132 in words is "two billion, twelve million, three hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 823 828 1646 2469 2953 3292 4938 5906 7407 8859 9876 11812 14814 17718 18929 26577 29628 35436 37858 53154 56787 67919 75716 106308 113574 135838 170361 203757 227148 271676 340722 407514 611271 681444 815028 1222542 2430319 2445084 4860638 7290957 9721276 14581914 21872871 29163828 43745742 55897337 87491484 111794674 167692011 223589348 335384022 503076033 670768044 1006152066 2012304132