Search a number
-
+
203695296 = 2637314889
BaseRepresentation
bin11000010010000…
…10010011000000
3112012021210102020
430021002103000
5404121222141
632113521440
75022244560
oct1411022300
9465253366
10203695296
11a4a87322
1258273280
133327c27c
141d0a4da0
1512d39266
hexc2424c0

203695296 has 112 divisors (see below), whose sum is σ = 635934720. Its totient is φ = 56309760.

The previous prime is 203695277. The next prime is 203695307. The reversal of 203695296 is 692596302.

203695296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2036952962 = 82983547225055232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 39220 + ... + 44108.

Almost surely, 2203695296 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 203695296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317967360).

203695296 is an abundant number, since it is smaller than the sum of its proper divisors (432239424).

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

203695296 is a wasteful number, since it uses less digits than its factorization.

203695296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 203695296 is about 14272.1860974414. The cubic root of 203695296 is about 588.3832939852.

The spelling of 203695296 in words is "two hundred three million, six hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 4889 5208 5952 6944 9778 10416 13888 14667 19556 20832 29334 34223 39112 41664 58668 68446 78224 102669 117336 136892 151559 156448 205338 234672 273784 303118 312896 410676 454677 469344 547568 606236 821352 909354 938688 1060913 1095136 1212472 1642704 1818708 2121826 2190272 2424944 3182739 3285408 3637416 4243652 4849888 6365478 6570816 7274832 8487304 9699776 12730956 14549664 16974608 25461912 29099328 33949216 50923824 67898432 101847648 203695296