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103534272 = 26321731039
BaseRepresentation
bin1100010101111…
…00111011000000
321012211002022200
412022330323000
5203001044042
614135033200
72365012122
oct612747300
9235732280
10103534272
1153495916
122a80b800
13185b03aa
14da71212
159151c4c
hex62bcec0

103534272 has 84 divisors (see below), whose sum is σ = 298764960. Its totient is φ = 34278912.

The previous prime is 103534253. The next prime is 103534309. The reversal of 103534272 is 272435301.

103534272 is a `hidden beast` number, since 103 + 534 + 27 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99129 + ... + 100167.

Almost surely, 2103534272 is an apocalyptic number.

103534272 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 103534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149382480).

103534272 is an abundant number, since it is smaller than the sum of its proper divisors (195230688).

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

103534272 is a wasteful number, since it uses less digits than its factorization.

103534272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 103534272 is about 10175.1792121810. The cubic root of 103534272 is about 469.5639111790.

Adding to 103534272 its reverse (272435301), we get a palindrome (375969573).

The spelling of 103534272 in words is "one hundred three million, five hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1039 1384 1557 2076 2078 2768 3114 3117 4152 4156 5536 6228 6234 8304 8312 9351 11072 12456 12468 16608 16624 18702 24912 24936 33216 33248 37404 49824 49872 66496 74808 99648 99744 149616 179747 199488 299232 359494 539241 598464 718988 1078482 1437976 1617723 2156964 2875952 3235446 4313928 5751904 6470892 8627856 11503808 12941784 17255712 25883568 34511424 51767136 103534272