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23820896 = 2511313759
BaseRepresentation
bin101101011011…
…1101001100000
31122211020010102
41122313221200
522044232041
62210321532
7406321451
oct132675140
948736112
1023820896
111249aaa0
127b892a8
134c20608
143241128
15215809b
hex16b7a60

23820896 has 96 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 10022400.

The previous prime is 23820883. The next prime is 23820931. The reversal of 23820896 is 69802832.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403715 + ... + 403773.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 223820896 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 23820896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

23820896 is an abundant number, since it is smaller than the sum of its proper divisors (31336864).

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

23820896 is a wasteful number, since it uses less digits than its factorization.

23820896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 23820896 is about 4880.6655283885. The cubic root of 23820896 is about 287.7305865295.

The spelling of 23820896 in words is "twenty-three million, eight hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 59 62 74 88 118 124 148 176 236 248 296 341 352 407 472 496 592 649 682 814 944 992 1147 1184 1298 1364 1628 1829 1888 2183 2294 2596 2728 3256 3658 4366 4588 5192 5456 6512 7316 8732 9176 10384 10912 12617 13024 14632 17464 18352 20119 20768 24013 25234 29264 34928 36704 40238 48026 50468 58528 67673 69856 80476 96052 100936 135346 160952 192104 201872 270692 321904 384208 403744 541384 643808 744403 768416 1082768 1488806 2165536 2977612 5955224 11910448 23820896