Search a number
-
+
203074704 = 24327296947
BaseRepresentation
bin11000001101010…
…10110010010000
3112011010021010100
430012222302100
5403441342304
632052332400
75014051350
oct1406526220
9464107110
10203074704
11a46a3038
1258014100
13330c2961
141cd82b60
1512c65439
hexc1aac90

203074704 has 120 divisors (see below), whose sum is σ = 672010560. Its totient is φ = 56012544.

The previous prime is 203074693. The next prime is 203074709. The reversal of 203074704 is 407470302.

It is not an unprimeable number, because it can be changed into a prime (203074709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25759 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (5600088).

Almost surely, 2203074704 is an apocalyptic number.

203074704 is a gapful number since it is divisible by the number (24) 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 203074704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336005280).

203074704 is an abundant number, since it is smaller than the sum of its proper divisors (468935856).

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

203074704 is a wasteful number, since it uses less digits than its factorization.

203074704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 203074704 is about 14250.4282040927. The cubic root of 203074704 is about 587.7851498823.

The spelling of 203074704 in words is "two hundred three million, seventy-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 6947 7308 9744 13894 14616 20841 27788 29232 41682 48629 55576 62523 83364 97258 111152 125046 145887 166728 194516 201463 250092 291774 333456 389032 402926 437661 500184 583548 604389 778064 805852 875322 1000368 1167096 1208778 1410241 1611704 1750644 1813167 2334192 2417556 2820482 3223408 3501288 3626334 4230723 4835112 5640964 7002576 7252668 8461446 9670224 11281928 12692169 14505336 16922892 22563856 25384338 29010672 33845784 50768676 67691568 101537352 203074704