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23058432 = 21134139
BaseRepresentation
bin101011111110…
…1100000000000
31121101111020000
41113331200000
521400332212
62142120000
7366664515
oct127754000
947344200
1023058432
111201a161
127880000
134a14557
1430c330c
1520571dc
hex15fd800

23058432 has 120 divisors (see below), whose sum is σ = 69369300. Its totient is φ = 7630848.

The previous prime is 23058407. The next prime is 23058461. The reversal of 23058432 is 23485032.

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

It is a junction number, because it is equal to n+sod(n) for n = 23058396 and 23058405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165819 + ... + 165957.

Almost surely, 223058432 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 23058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34684650).

23058432 is an abundant number, since it is smaller than the sum of its proper divisors (46310868).

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

23058432 is an equidigital number, since it uses as much as digits as its factorization.

23058432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

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

The square root of 23058432 is about 4801.9196161535. The cubic root of 23058432 is about 284.6273245239.

The spelling of 23058432 in words is "twenty-three million, fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 139 144 162 192 216 256 278 288 324 384 417 432 512 556 576 648 768 834 864 1024 1112 1152 1251 1296 1536 1668 1728 2048 2224 2304 2502 2592 3072 3336 3456 3753 4448 4608 5004 5184 6144 6672 6912 7506 8896 9216 10008 10368 11259 13344 13824 15012 17792 18432 20016 20736 22518 26688 27648 30024 35584 40032 41472 45036 53376 55296 60048 71168 80064 82944 90072 106752 120096 142336 160128 165888 180144 213504 240192 284672 320256 360288 427008 480384 640512 720576 854016 960768 1281024 1441152 1921536 2562048 2882304 3843072 5764608 7686144 11529216 23058432