Search a number
-
+
23108640 = 2535311553
BaseRepresentation
bin101100000100…
…1110000100000
31121111001002120
41120021300200
521403434030
62143144240
7400264062
oct130116040
947431076
1023108640
1112053955
1278a5080
134a31369
1430d7732
152067010
hex1609c20

23108640 has 96 divisors (see below), whose sum is σ = 75188736. Its totient is φ = 5959680.

The previous prime is 23108639. The next prime is 23108641. The reversal of 23108640 is 4680132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23108639) and next prime (23108641).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23108640.

It is not an unprimeable number, because it can be changed into a prime (23108641) 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, 14104 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (783216).

Almost surely, 223108640 is an apocalyptic number.

23108640 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 23108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37594368).

23108640 is an abundant number, since it is smaller than the sum of its proper divisors (52080096).

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

23108640 is a wasteful number, since it uses less digits than its factorization.

23108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23108640 is about 4807.1446826573. The cubic root of 23108640 is about 284.8337596222.

Adding to 23108640 its reverse (4680132), we get a palindrome (27788772).

The spelling of 23108640 in words is "twenty-three million, one hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1553 1860 2480 2976 3106 3720 4659 4960 6212 7440 7765 9318 12424 14880 15530 18636 23295 24848 31060 37272 46590 48143 49696 62120 74544 93180 96286 124240 144429 149088 186360 192572 240715 248480 288858 372720 385144 481430 577716 722145 745440 770288 962860 1155432 1444290 1540576 1925720 2310864 2888580 3851440 4621728 5777160 7702880 11554320 23108640