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2023210040 = 2353110914969
BaseRepresentation
bin111100010010111…
…1011110000111000
312020000000201102012
41320211323300320
513120420210130
6532432225052
7101065000355
oct17045736070
95200021365
102023210040
1194905a715
1248569b188
13263212907
141529bb62c
15bc949995
hex7897bc38

2023210040 has 64 divisors (see below), whose sum is σ = 4742496000. Its totient is φ = 775941120.

The previous prime is 2023210039. The next prime is 2023210051. The reversal of 2023210040 is 400123202.

It is a junction number, because it is equal to n+sod(n) for n = 2023209997 and 2023210024.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 127676 + ... + 142644.

It is an arithmetic number, because the mean of its divisors is an integer number (74101500).

Almost surely, 22023210040 is an apocalyptic number.

2023210040 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 2023210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371248000).

2023210040 is an abundant number, since it is smaller than the sum of its proper divisors (2719285960).

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

2023210040 is a wasteful number, since it uses less digits than its factorization.

2023210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15120 (or 15116 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2023210040 is about 44980.1071586096. The cubic root of 2023210040 is about 1264.7761199826.

Adding to 2023210040 its reverse (400123202), we get a palindrome (2423333242).

The spelling of 2023210040 in words is "two billion, twenty-three million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 109 124 155 218 248 310 436 545 620 872 1090 1240 2180 3379 4360 6758 13516 14969 16895 27032 29938 33790 59876 67580 74845 119752 135160 149690 299380 464039 598760 928078 1631621 1856156 2320195 3263242 3712312 4640390 6526484 8158105 9280780 13052968 16316210 18561560 32632420 50580251 65264840 101160502 202321004 252901255 404642008 505802510 1011605020 2023210040