[go: up one dir, main page]

Search a number
-
+
23011540 = 22517531277
BaseRepresentation
bin101011111001…
…0000011010100
31121022002220021
41113302003110
521342332130
62141114524
7366411016
oct127620324
947262807
1023011540
1111a97a02
127858a44
1349c90c6
1430b01b6
15204837a
hex15f20d4

23011540 has 48 divisors (see below), whose sum is σ = 52173072. Its totient is φ = 8493056.

The previous prime is 23011531. The next prime is 23011543. The reversal of 23011540 is 4511032.

It can be written as a sum of positive squares in 8 ways, for example, as 1648656 + 21362884 = 1284^2 + 4622^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23011543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17382 + ... + 18658.

It is an arithmetic number, because the mean of its divisors is an integer number (1086939).

Almost surely, 223011540 is an apocalyptic number.

23011540 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 23011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26086536).

23011540 is an abundant number, since it is smaller than the sum of its proper divisors (29161532).

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

23011540 is a wasteful number, since it uses less digits than its factorization.

23011540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 23011540 is about 4797.0345006056. The cubic root of 23011540 is about 284.4342526775.

Adding to 23011540 its reverse (4511032), we get a palindrome (27522572).

The spelling of 23011540 in words is "twenty-three million, eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1277 1802 2554 3604 4505 5108 6385 9010 12770 18020 21709 25540 43418 67681 86836 108545 135362 217090 270724 338405 434180 676810 1150577 1353620 2301154 4602308 5752885 11505770 23011540