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2032123040 = 25536734607
BaseRepresentation
bin111100100011111…
…1011110010100000
312020121210112202022
41321013323302200
513130210414130
6533351241012
7101233521653
oct17107736240
95217715668
102032123040
11953098132
12488679168
1326501378c
14153c5b89a
15bd60a7e5
hex791fbca0

2032123040 has 48 divisors (see below), whose sum is σ = 4814111232. Its totient is φ = 810610944.

The previous prime is 2032123007. The next prime is 2032123069. The reversal of 2032123040 is 403212302.

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 7 ways as a sum of consecutive naturals, for example, 41417 + ... + 76023.

It is an arithmetic number, because the mean of its divisors is an integer number (100293984).

Almost surely, 22032123040 is an apocalyptic number.

2032123040 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 2032123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407055616).

2032123040 is an abundant number, since it is smaller than the sum of its proper divisors (2781988192).

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

2032123040 is a wasteful number, since it uses less digits than its factorization.

2032123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34989 (or 34981 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2032123040 is about 45079.0754119913. The cubic root of 2032123040 is about 1266.6306705683.

Adding to 2032123040 its reverse (403212302), we get a palindrome (2435335342).

The spelling of 2032123040 in words is "two billion, thirty-two million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 367 734 1468 1835 2936 3670 5872 7340 11744 14680 29360 34607 58720 69214 138428 173035 276856 346070 553712 692140 1107424 1384280 2768560 5537120 12700769 25401538 50803076 63503845 101606152 127007690 203212304 254015380 406424608 508030760 1016061520 2032123040