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104407128 = 233271910903
BaseRepresentation
bin1100011100100…
…10000001011000
321021110102122200
412032102001120
5203212012003
614205450200
72405305650
oct616220130
9237412580
10104407128
1153a31691
122ab70960
1318827787
14dc1b360
1592756a3
hex6392058

104407128 has 96 divisors (see below), whose sum is σ = 340204800. Its totient is φ = 28257984.

The previous prime is 104407123. The next prime is 104407157. The reversal of 104407128 is 821704401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104407123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4125 + ... + 15027.

It is an arithmetic number, because the mean of its divisors is an integer number (3543800).

Almost surely, 2104407128 is an apocalyptic number.

104407128 is a gapful number since it is divisible by the number (18) 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 104407128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170102400).

104407128 is an abundant number, since it is smaller than the sum of its proper divisors (235797672).

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

104407128 is a wasteful number, since it uses less digits than its factorization.

104407128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10941 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104407128 is about 10217.9806224126. The cubic root of 104407128 is about 470.8797886516.

The spelling of 104407128 in words is "one hundred four million, four hundred seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 10903 21806 32709 43612 65418 76321 87224 98127 130836 152642 196254 207157 228963 261672 305284 392508 414314 457926 610568 621471 686889 785016 828628 915852 1242942 1373778 1450099 1657256 1831704 1864413 2485884 2747556 2900198 3728826 4350297 4971768 5495112 5800396 7457652 8700594 11600792 13050891 14915304 17401188 26101782 34802376 52203564 104407128