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104142132 = 22332941811
BaseRepresentation
bin1100011010100…
…01010100110100
321020221222011000
412031101110310
5203130022012
614200043300
72403123243
oct615212464
9236858130
10104142132
1153870586
122aa63530
1318763c83
14db8c95a
159221ddc
hex6351534

104142132 has 96 divisors (see below), whose sum is σ = 286473600. Its totient is φ = 32659200.

The previous prime is 104142131. The next prime is 104142179. The reversal of 104142132 is 231241401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104142131) 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, 128007 + ... + 128817.

It is an arithmetic number, because the mean of its divisors is an integer number (2984100).

Almost surely, 2104142132 is an apocalyptic number.

104142132 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 104142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143236800).

104142132 is an abundant number, since it is smaller than the sum of its proper divisors (182331468).

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

104142132 is a wasteful number, since it uses less digits than its factorization.

104142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

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

The square root of 104142132 is about 10205.0052425268. The cubic root of 104142132 is about 470.4810707314.

Adding to 104142132 its reverse (231241401), we get a palindrome (335383533).

The spelling of 104142132 in words is "one hundred four million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 41 54 58 82 87 108 116 123 164 174 246 261 348 369 492 522 738 783 811 1044 1107 1189 1476 1566 1622 2214 2378 2433 3132 3244 3567 4428 4756 4866 7134 7299 9732 10701 14268 14598 21402 21897 23519 29196 32103 33251 42804 43794 47038 64206 66502 70557 87588 94076 99753 128412 133004 141114 199506 211671 282228 299259 399012 423342 598518 635013 846684 897777 964279 1197036 1270026 1795554 1928558 2540052 2892837 3591108 3857116 5785674 8678511 11571348 17357022 26035533 34714044 52071066 104142132