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2023421140 = 2251315151539
BaseRepresentation
bin111100010011010…
…1111010011010100
312020000102102222201
41320212233103110
513120443434030
6532440534244
7101066536666
oct17046572324
95200372881
102023421140
11949194284
12485781384
13263287a20
14152a34536
15bc98c2ca
hex789af4d4

2023421140 has 48 divisors (see below), whose sum is σ = 4606439040. Its totient is φ = 742147200.

The previous prime is 2023421137. The next prime is 2023421149. The reversal of 2023421140 is 411243202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023421149) by changing a digit.

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, 13491 + ... + 65029.

It is an arithmetic number, because the mean of its divisors is an integer number (95967480).

Almost surely, 22023421140 is an apocalyptic number.

2023421140 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 2023421140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303219520).

2023421140 is an abundant number, since it is smaller than the sum of its proper divisors (2583017900).

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

2023421140 is a wasteful number, since it uses less digits than its factorization.

2023421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51712 (or 51710 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2023421140 is about 44982.4536903002. The cubic root of 2023421140 is about 1264.8201070045.

Adding to 2023421140 its reverse (411243202), we get a palindrome (2434664342).

The spelling of 2023421140 in words is "two billion, twenty-three million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1510 1963 3020 3926 7852 9815 19630 39260 51539 103078 206156 257695 515390 670007 1030780 1340014 2680028 3350035 6700070 7782389 13400140 15564778 31129556 38911945 77823890 101171057 155647780 202342114 404684228 505855285 1011710570 2023421140