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104412132 = 223311179491
BaseRepresentation
bin1100011100100…
…11001111100100
321021110200112000
412032103033210
5203212142012
614205525300
72405326356
oct616231744
9237420460
10104412132
1153a35420
122ab73830
1318829b36
14dc1d0d6
159276ddc
hex63933e4

104412132 has 96 divisors (see below), whose sum is σ = 297561600. Its totient is φ = 31399200.

The previous prime is 104412131. The next prime is 104412137. The reversal of 104412132 is 231214401.

104412132 is a `hidden beast` number, since 10 + 441 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (104412131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212407 + ... + 212897.

It is an arithmetic number, because the mean of its divisors is an integer number (3099600).

Almost surely, 2104412132 is an apocalyptic number.

104412132 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 104412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

104412132 is an abundant number, since it is smaller than the sum of its proper divisors (193149468).

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

104412132 is a wasteful number, since it uses less digits than its factorization.

104412132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104412132 is about 10218.2254819514. The cubic root of 104412132 is about 470.8873112696.

Adding to 104412132 its reverse (231214401), we get a palindrome (335626533).

The spelling of 104412132 in words is "one hundred four million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 179 198 297 358 396 491 537 594 716 982 1074 1188 1473 1611 1964 1969 2148 2946 3222 3938 4419 4833 5401 5892 5907 6444 7876 8838 9666 10802 11814 13257 16203 17676 17721 19332 21604 23628 26514 32406 35442 48609 53028 53163 64812 70884 87889 97218 106326 145827 175778 194436 212652 263667 291654 351556 527334 583308 791001 966779 1054668 1582002 1933558 2373003 2900337 3164004 3867116 4746006 5800674 8701011 9492012 11601348 17402022 26103033 34804044 52206066 104412132