Search a number
-
+
203689984 = 2122232
BaseRepresentation
bin11000010010000…
…01000000000000
3112012021112010111
430021001000000
5404121034414
632113441104
75022223231
oct1411010000
9465245114
10203689984
11a4a83333
1258270194
1333279a24
141d0a3088
1512d378c4
hexc241000

203689984 has 39 divisors (see below), whose sum is σ = 409165023. Its totient is φ = 101388288.

The previous prime is 203689973. The next prime is 203689987. The reversal of 203689984 is 489986302.

The square root of 203689984 is 14272.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203689987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 913297 + ... + 913519.

Almost surely, 2203689984 is an apocalyptic number.

203689984 is the 14272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203689984

203689984 is an abundant number, since it is smaller than the sum of its proper divisors (205475039).

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

203689984 is an frugal number, since it uses more digits than its factorization.

203689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The cubic root of 203689984 is about 588.3781792881.

Multiplying 203689984 by its sum of digits (49), we get a square (9980809216 = 999042).

Multiplying 203689984 by its product of nonzero digits (746496), we get a square (152053758296064 = 123310082).

The spelling of 203689984 in words is "two hundred three million, six hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 512 892 1024 1784 2048 3568 4096 7136 14272 28544 49729 57088 99458 114176 198916 228352 397832 456704 795664 913408 1591328 3182656 6365312 12730624 25461248 50922496 101844992 203689984