Search a number
-
+
23116480 = 265294753
BaseRepresentation
bin101100000101…
…1101011000000
31121111102211221
41120023223000
521404211410
62143244424
7400325662
oct130135300
947442757
1023116480
1112059832
1278a9714
134a34aba
1430da532
1520694da
hex160bac0

23116480 has 112 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 8572928.

The previous prime is 23116477. The next prime is 23116501. The reversal of 23116480 is 8461132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436134 + ... + 436186.

Almost surely, 223116480 is an apocalyptic number.

23116480 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 23116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).

23116480 is an abundant number, since it is smaller than the sum of its proper divisors (36136640).

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

23116480 is a wasteful number, since it uses less digits than its factorization.

23116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 23116480 is about 4807.9600663899. The cubic root of 23116480 is about 284.8659675494.

The spelling of 23116480 in words is "twenty-three million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 47 53 58 64 80 94 106 116 145 160 188 212 232 235 265 290 320 376 424 464 470 530 580 752 848 928 940 1060 1160 1363 1504 1537 1696 1856 1880 2120 2320 2491 2726 3008 3074 3392 3760 4240 4640 4982 5452 6148 6815 7520 7685 8480 9280 9964 10904 12296 12455 13630 15040 15370 16960 19928 21808 24592 24910 27260 30740 39856 43616 49184 49820 54520 61480 72239 79712 87232 98368 99640 109040 122960 144478 159424 199280 218080 245920 288956 361195 398560 436160 491840 577912 722390 797120 1155824 1444780 2311648 2889560 4623296 5779120 11558240 23116480