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104542272 = 2633101599
BaseRepresentation
bin1100011101100…
…11000001000000
321021201022001000
412032303001000
5203230323042
614212412000
72406410652
oct616630100
9237638030
10104542272
115401417a
122b017000
1318874143
14dc546d2
1592a074c
hex63b3040

104542272 has 112 divisors (see below), whose sum is σ = 310896000. Its totient is φ = 34444800.

The previous prime is 104542259. The next prime is 104542307. The reversal of 104542272 is 272245401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174229 + ... + 174827.

Almost surely, 2104542272 is an apocalyptic number.

104542272 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 104542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155448000).

104542272 is an abundant number, since it is smaller than the sum of its proper divisors (206353728).

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

104542272 is a wasteful number, since it uses less digits than its factorization.

104542272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 104542272 is about 10224.5915321836. The cubic root of 104542272 is about 471.0828691059.

Adding to 104542272 its reverse (272245401), we get a palindrome (376787673).

The spelling of 104542272 in words is "one hundred four million, five hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 144 192 202 216 288 303 404 432 576 599 606 808 864 909 1198 1212 1616 1728 1797 1818 2396 2424 2727 3232 3594 3636 4792 4848 5391 5454 6464 7188 7272 9584 9696 10782 10908 14376 14544 16173 19168 19392 21564 21816 28752 29088 32346 38336 43128 43632 57504 58176 60499 64692 86256 87264 115008 120998 129384 172512 174528 181497 241996 258768 345024 362994 483992 517536 544491 725988 967984 1035072 1088982 1451976 1633473 1935968 2177964 2903952 3266946 3871936 4355928 5807904 6533892 8711856 11615808 13067784 17423712 26135568 34847424 52271136 104542272