[go: up one dir, main page]

Search a number
-
+
23054328 = 23331131313
BaseRepresentation
bin101011111110…
…0011111111000
31121101021121000
41113330133320
521400214303
62142045000
7366646533
oct127743770
947337530
1023054328
1112017070
127879760
134a1271b
1430c1a1a
152055da3
hex15fc7f8

23054328 has 128 divisors (see below), whose sum is σ = 72345600. Its totient is φ = 6739200.

The previous prime is 23054267. The next prime is 23054357. The reversal of 23054328 is 82345032.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73500 + ... + 73812.

It is an arithmetic number, because the mean of its divisors is an integer number (565200).

Almost surely, 223054328 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 23054328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36172800).

23054328 is an abundant number, since it is smaller than the sum of its proper divisors (49291272).

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

23054328 is a wasteful number, since it uses less digits than its factorization.

23054328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23054328 is about 4801.4922680350. The cubic root of 23054328 is about 284.6104372836.

The spelling of 23054328 in words is "twenty-three million, fifty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 313 341 372 396 558 594 626 682 744 792 837 939 1023 1116 1188 1252 1364 1674 1878 2046 2232 2376 2504 2728 2817 3069 3348 3443 3756 4092 5634 6138 6696 6886 7512 8184 8451 9207 9703 10329 11268 12276 13772 16902 18414 19406 20658 22536 24552 27544 29109 30987 33804 36828 38812 41316 58218 61974 67608 73656 77624 82632 87327 92961 106733 116436 123948 174654 185922 213466 232872 247896 261981 320199 349308 371844 426932 523962 640398 698616 743688 853864 960597 1047924 1280796 1921194 2095848 2561592 2881791 3842388 5763582 7684776 11527164 23054328