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104654004 = 223721313691
BaseRepresentation
bin1100011110011…
…10010010110100
321021220222022020
412033032102310
5203242412004
614215033140
72410354500
oct617162264
9237828266
10104654004
1154090114
122b06b7b0
13188b2c60
14dc83300
1592c38d9
hex63ce4b4

104654004 has 72 divisors (see below), whose sum is σ = 305934048. Its totient is φ = 27599040.

The previous prime is 104653999. The next prime is 104654027. The reversal of 104654004 is 400456401.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799 + ... + 14489.

It is an arithmetic number, because the mean of its divisors is an integer number (4249084).

Almost surely, 2104654004 is an apocalyptic number.

104654004 is a gapful number since it is divisible by the number (14) 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 104654004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152967024).

104654004 is an abundant number, since it is smaller than the sum of its proper divisors (201280044).

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

104654004 is a wasteful number, since it uses less digits than its factorization.

104654004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13725 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 104654004 is about 10230.0539588020. The cubic root of 104654004 is about 471.2506362990.

The spelling of 104654004 in words is "one hundred four million, six hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 13691 27382 41073 54764 82146 95837 164292 177983 191674 287511 355966 383348 533949 575022 670859 711932 1067898 1150044 1245881 1341718 2012577 2135796 2491762 2683436 3737643 4025154 4983524 7475286 8050308 8721167 14950572 17442334 26163501 34884668 52327002 104654004