Search a number
-
+
23127552 = 29337239
BaseRepresentation
bin101100000111…
…0011000000000
31121112000001000
41120032120000
521410040202
62143412000
7400403160
oct130163000
947460030
1023127552
1112067088
1278b4000
134a39b56
1431005a0
15206c91c
hex160e600

23127552 has 160 divisors (see below), whose sum is σ = 78566400. Its totient is φ = 6580224.

The previous prime is 23127547. The next prime is 23127563. The reversal of 23127552 is 25572132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 96649 + ... + 96887.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 223127552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

23127552 is an abundant number, since it is smaller than the sum of its proper divisors (55438848).

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

23127552 is an equidigital number, since it uses as much as digits as its factorization.

23127552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 23127552 is about 4809.1113524226. Note that the first 3 decimals coincide. The cubic root of 23127552 is about 284.9114406284.

Adding to 23127552 its reverse (25572132), we get a palindrome (48699684).

The spelling of 23127552 in words is "twenty-three million, one hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 239 252 256 288 336 378 384 432 448 478 504 512 576 672 717 756 768 864 896 956 1008 1152 1344 1434 1512 1536 1673 1728 1792 1912 2016 2151 2304 2688 2868 3024 3346 3456 3584 3824 4032 4302 4608 5019 5376 5736 6048 6453 6692 6912 7648 8064 8604 10038 10752 11472 12096 12906 13384 13824 15057 15296 16128 17208 20076 22944 24192 25812 26768 30114 30592 32256 34416 40152 45171 45888 48384 51624 53536 60228 61184 68832 80304 90342 91776 96768 103248 107072 120456 122368 137664 160608 180684 183552 206496 214144 240912 275328 321216 361368 367104 412992 428288 481824 550656 642432 722736 825984 856576 963648 1101312 1284864 1445472 1651968 1927296 2569728 2890944 3303936 3854592 5781888 7709184 11563776 23127552