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239143104 = 263515377
BaseRepresentation
bin11100100000100…
…00100011000000
3121122222201200000
432100100203000
5442210034404
635421400000
75632453134
oct1620204300
9548881600
10239143104
11112a98832
1268109000
133a710ac5
1423a913c4
1515edc339
hexe4108c0

239143104 has 84 divisors (see below), whose sum is σ = 710894184. Its totient is φ = 79709184.

The previous prime is 239143103. The next prime is 239143111. The reversal of 239143104 is 401341932.

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

It is not an unprimeable number, because it can be changed into a prime (239143103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7864 + ... + 23240.

It is an arithmetic number, because the mean of its divisors is an integer number (8463026).

Almost surely, 2239143104 is an apocalyptic number.

239143104 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 239143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355447092).

239143104 is an abundant number, since it is smaller than the sum of its proper divisors (471751080).

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

239143104 is an equidigital number, since it uses as much as digits as its factorization.

239143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15404 (or 15382 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 239143104 is about 15464.2524552595. The cubic root of 239143104 is about 620.7060150171.

The spelling of 239143104 in words is "two hundred thirty-nine million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15377 15552 30754 46131 61508 92262 123016 138393 184524 246032 276786 369048 415179 492064 553572 738096 830358 984128 1107144 1245537 1476192 1660716 2214288 2491074 2952384 3321432 3736611 4428576 4982148 6642864 7473222 8857152 9964296 13285728 14946444 19928592 26571456 29892888 39857184 59785776 79714368 119571552 239143104