Search a number
-
+
23007140 = 22513107827
BaseRepresentation
bin101011111000…
…0111110100100
31121021212212022
41113300332210
521342212030
62141042312
7366362132
oct127607644
947255768
1023007140
1111a94672
127856398
1349c70c0
1430ac752
152046de5
hex15f0fa4

23007140 has 48 divisors (see below), whose sum is σ = 52581312. Its totient is φ = 8405376.

The previous prime is 23007079. The next prime is 23007143. The reversal of 23007140 is 4170032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23007143) 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, 27407 + ... + 28233.

It is an arithmetic number, because the mean of its divisors is an integer number (1095444).

Almost surely, 223007140 is an apocalyptic number.

23007140 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 23007140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26290656).

23007140 is an abundant number, since it is smaller than the sum of its proper divisors (29574172).

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

23007140 is a wasteful number, since it uses less digits than its factorization.

23007140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 23007140 is about 4796.5758620082. The cubic root of 23007140 is about 284.4161227815.

Adding to 23007140 its reverse (4170032), we get a palindrome (27177172).

The spelling of 23007140 in words is "twenty-three million, seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 827 1070 1391 1654 2140 2782 3308 4135 5564 6955 8270 10751 13910 16540 21502 27820 43004 53755 88489 107510 176978 215020 353956 442445 884890 1150357 1769780 2300714 4601428 5751785 11503570 23007140