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23895144 = 23327213521
BaseRepresentation
bin101101100100…
…1110001101000
31122221222222100
41123021301220
522104121034
62212053400
7410051100
oct133116150
948858870
1023895144
1112540859
128004260
134c48350
143260200
152170099
hex16c9c68

23895144 has 144 divisors (see below), whose sum is σ = 81228420. Its totient is φ = 6289920.

The previous prime is 23895139. The next prime is 23895167. The reversal of 23895144 is 44159832.

It can be written as a sum of positive squares in 2 ways, for example, as 21734244 + 2160900 = 4662^2 + 1470^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23895099 and 23895108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45604 + ... + 46124.

Almost surely, 223895144 is an apocalyptic number.

23895144 is a gapful number since it is divisible by the number (24) 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 23895144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40614210).

23895144 is an abundant number, since it is smaller than the sum of its proper divisors (57333276).

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

23895144 is a wasteful number, since it uses less digits than its factorization.

23895144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 23895144 is about 4888.2659502118. The cubic root of 23895144 is about 288.0292215720.

The spelling of 23895144 in words is "twenty-three million, eight hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 521 546 588 637 728 819 882 936 1042 1092 1176 1274 1563 1638 1764 1911 2084 2184 2548 3126 3276 3528 3647 3822 4168 4689 5096 5733 6252 6552 6773 7294 7644 9378 10941 11466 12504 13546 14588 15288 18756 20319 21882 22932 25529 27092 29176 32823 37512 40638 43764 45864 47411 51058 54184 60957 65646 76587 81276 87528 94822 102116 121914 131292 142233 153174 162552 189644 204232 229761 243828 262584 284466 306348 331877 379288 426699 459522 487656 568932 612696 663754 853398 919044 995631 1137864 1327508 1706796 1838088 1991262 2655016 2986893 3413592 3982524 5973786 7965048 11947572 23895144