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204006432 = 2537303581
BaseRepresentation
bin11000010100011…
…10010000100000
3112012212121012210
430022032100200
5404211201212
632124322120
75025011640
oct1412162040
9465777183
10204006432
11a517a063
12583a3340
133335aa86
141d146520
1512d9b53c
hexc28e420

204006432 has 48 divisors (see below), whose sum is σ = 612021312. Its totient is φ = 58287360.

The previous prime is 204006403. The next prime is 204006433. The reversal of 204006432 is 234600402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 204006399 and 204006408.

It is not an unprimeable number, because it can be changed into a prime (204006433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151119 + ... + 152462.

It is an arithmetic number, because the mean of its divisors is an integer number (12750444).

Almost surely, 2204006432 is an apocalyptic number.

It is an amenable number.

204006432 is an abundant number, since it is smaller than the sum of its proper divisors (408014880).

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

204006432 is a wasteful number, since it uses less digits than its factorization.

204006432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303601 (or 303593 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 204006432 is about 14283.0820203484. The cubic root of 204006432 is about 588.6827184982.

Adding to 204006432 its reverse (234600402), we get a palindrome (438606834).

The spelling of 204006432 in words is "two hundred four million, six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 303581 607162 910743 1214324 1821486 2125067 2428648 3642972 4250134 4857296 6375201 7285944 8500268 9714592 12750402 14571888 17000536 25500804 29143776 34001072 51001608 68002144 102003216 204006432