Search a number
-
+
203029974 = 23273159881
BaseRepresentation
bin11000001100111…
…11110111010110
3112011000222202200
430012133313112
5403433424344
632051345330
75013504060
oct1406376726
9464028680
10203029974
11a4672474
1257bb2246
13330a84a4
141cd70730
1512c57069
hexc19fdd6

203029974 has 96 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 55123200.

The previous prime is 203029927. The next prime is 203030057. The reversal of 203029974 is 479920302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230014 + ... + 230894.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2203029974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203029974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

203029974 is an abundant number, since it is smaller than the sum of its proper divisors (325323306).

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

203029974 is a wasteful number, since it uses less digits than its factorization.

203029974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 203029974 is about 14248.8586911373. The cubic root of 203029974 is about 587.7419907888.

It can be divided in two parts, 20302 and 9974, that added together give a square (30276 = 1742).

The spelling of 203029974 in words is "two hundred three million, twenty-nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 59 62 63 93 118 126 177 186 217 279 354 413 434 531 558 651 826 881 1062 1239 1302 1762 1829 1953 2478 2643 3658 3717 3906 5286 5487 6167 7434 7929 10974 12334 12803 15858 16461 18501 25606 27311 32922 37002 38409 51979 54622 55503 76818 81933 103958 111006 115227 155937 163866 191177 230454 245799 311874 363853 382354 467811 491598 573531 727706 935622 1091559 1147062 1611349 1720593 2183118 3222698 3274677 3441186 4834047 6549354 9668094 11279443 14502141 22558886 29004282 33838329 67676658 101514987 203029974