Search a number
-
+
20202032320 = 265457138143
BaseRepresentation
bin10010110100001000…
…101000110011000000
31221010220200120111021
4102310020220303000
5312333210013240
613140343355224
71313424304261
oct226410506300
957126616437
1020202032320
11862757a988
123ab9752b14
131b9c4c3ca2
14d99076968
157d387754a
hex4b4228cc0

20202032320 has 56 divisors (see below), whose sum is σ = 48211703424. Its totient is φ = 8063072256.

The previous prime is 20202032317. The next prime is 20202032329. The reversal of 20202032320 is 2323020202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20202032294 and 20202032303.

It is not an unprimeable number, because it can be changed into a prime (20202032329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77169 + ... + 215311.

Almost surely, 220202032320 is an apocalyptic number.

20202032320 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 20202032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105851712).

20202032320 is an abundant number, since it is smaller than the sum of its proper divisors (28009671104).

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

20202032320 is a wasteful number, since it uses less digits than its factorization.

20202032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138617 (or 138607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20202032320 its reverse (2323020202), we get a palindrome (22525052522).

The spelling of 20202032320 in words is "twenty billion, two hundred two million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 457 914 1828 2285 3656 4570 7312 9140 14624 18280 29248 36560 73120 138143 146240 276286 552572 690715 1105144 1381430 2210288 2762860 4420576 5525720 8841152 11051440 22102880 44205760 63131351 126262702 252525404 315656755 505050808 631313510 1010101616 1262627020 2020203232 2525254040 4040406464 5050508080 10101016160 20202032320