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23260608 = 26347641
BaseRepresentation
bin101100010111…
…0110111000000
31121202202120000
41120232313000
521423314413
62150320000
7401466120
oct130566700
947682500
1023260608
1112148048
127959000
134a85597
143136c80
152097073
hex162edc0

23260608 has 140 divisors (see below), whose sum is σ = 78924912. Its totient is φ = 6635520.

The previous prime is 23260583. The next prime is 23260621. The reversal of 23260608 is 80606232.

It is a super-3 number, since 3×232606083 (a number of 23 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 35968 + ... + 36608.

Almost surely, 223260608 is an apocalyptic number.

23260608 is a gapful number since it is divisible by the number (28) 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 23260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39462456).

23260608 is an abundant number, since it is smaller than the sum of its proper divisors (55664304).

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

23260608 is an equidigital number, since it uses as much as digits as its factorization.

23260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23260608 is about 4822.9252534121. The cubic root of 23260608 is about 285.4567744537.

The spelling of 23260608 in words is "twenty-three million, two hundred sixty thousand, six hundred eight".

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 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 641 648 672 756 864 1008 1134 1282 1296 1344 1512 1728 1923 2016 2268 2564 2592 3024 3846 4032 4487 4536 5128 5184 5769 6048 7692 8974 9072 10256 11538 12096 13461 15384 17307 17948 18144 20512 23076 26922 30768 34614 35896 36288 40383 41024 46152 51921 53844 61536 69228 71792 80766 92304 103842 107688 121149 123072 138456 143584 161532 184608 207684 215376 242298 276912 287168 323064 363447 369216 415368 430752 484596 553824 646128 726894 830736 861504 969192 1107648 1292256 1453788 1661472 1938384 2584512 2907576 3322944 3876768 5815152 7753536 11630304 23260608