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203506116 = 2231117233943
BaseRepresentation
bin11000010000101…
…00000111000100
3112011221011220120
430020110013010
5404044143431
632105501540
75020526202
oct1410240704
9464834816
10203506116
11a4968180
12581a18b0
1333214128
141d056072
1512ced196
hexc2141c4

203506116 has 96 divisors (see below), whose sum is σ = 572479488. Its totient is φ = 55503360.

The previous prime is 203506111. The next prime is 203506129. The reversal of 203506116 is 611605302.

It is not an unprimeable number, because it can be changed into a prime (203506111) 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, 49641 + ... + 53583.

It is an arithmetic number, because the mean of its divisors is an integer number (5963328).

Almost surely, 2203506116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203506116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286239744).

203506116 is an abundant number, since it is smaller than the sum of its proper divisors (368973372).

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

203506116 is a wasteful number, since it uses less digits than its factorization.

203506116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 203506116 is about 14265.5569817656. The cubic root of 203506116 is about 588.2010858358.

The spelling of 203506116 in words is "two hundred three million, five hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 253 276 374 391 506 561 748 759 782 1012 1122 1173 1518 1564 2244 2346 3036 3943 4301 4692 7886 8602 11829 12903 15772 17204 23658 25806 43373 47316 51612 67031 86746 90689 130119 134062 173492 181378 201093 260238 268124 272067 362756 402186 520476 544134 737341 804372 997579 1088268 1474682 1541713 1995158 2212023 2949364 2992737 3083426 3990316 4424046 4625139 5985474 6166852 8848092 9250278 11970948 16958843 18500556 33917686 50876529 67835372 101753058 203506116