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104352192 = 263378627
BaseRepresentation
bin1100011100001…
…00100111000000
321021100122022000
412032010213000
5203203232232
614204344000
72404656540
oct616044700
9237318260
10104352192
11539a438a
122ab45000
1318808779
14dc05320
15926427c
hex63849c0

104352192 has 112 divisors (see below), whose sum is σ = 350641920. Its totient is φ = 29811456.

The previous prime is 104352191. The next prime is 104352197. The reversal of 104352192 is 291253401.

104352192 is a `hidden beast` number, since 10 + 43 + 521 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104352191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7783 + ... + 16409.

Almost surely, 2104352192 is an apocalyptic number.

104352192 is a gapful number since it is divisible by the number (12) 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 104352192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175320960).

104352192 is an abundant number, since it is smaller than the sum of its proper divisors (246289728).

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

104352192 is an equidigital number, since it uses as much as digits as its factorization.

104352192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8655 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 104352192 is about 10215.2920663092. The cubic root of 104352192 is about 470.7971864036.

It can be divided in two parts, 1043 and 52192, that added together give a palindrome (53235).

The spelling of 104352192 in words is "one hundred four million, three hundred fifty-two thousand, one hundred ninety-two".

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 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 8627 12096 17254 25881 34508 51762 60389 69016 77643 103524 120778 138032 155286 181167 207048 232929 241556 276064 310572 362334 414096 465858 483112 543501 552128 621144 724668 828192 931716 966224 1087002 1242288 1449336 1630503 1656384 1863432 1932448 2174004 2484576 2898672 3261006 3726864 3864896 4348008 4969152 5797344 6522012 7453728 8696016 11594688 13044024 14907456 17392032 26088048 34784064 52176096 104352192