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204089004 = 22337499541
BaseRepresentation
bin11000010101000…
…10011010101100
3112020000210111000
430022202122230
5404221322004
632130200300
75025504450
oct1412423254
9466023430
10204089004
11a52260a9
1258423090
1333389532
141d168660
1512db5c39
hexc2a26ac

204089004 has 96 divisors (see below), whose sum is σ = 607040000. Its totient is φ = 58086720.

The previous prime is 204088957. The next prime is 204089009. The reversal of 204089004 is 400980402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (204089009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376974 + ... + 377514.

Almost surely, 2204089004 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 204089004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303520000).

204089004 is an abundant number, since it is smaller than the sum of its proper divisors (402950996).

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

204089004 is a wasteful number, since it uses less digits than its factorization.

204089004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204089004 is about 14285.9722805275. The cubic root of 204089004 is about 588.7621312767.

The spelling of 204089004 in words is "two hundred four million, eighty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 499 541 756 998 1082 1497 1623 1996 2164 2994 3246 3493 3787 4491 4869 5988 6492 6986 7574 8982 9738 10479 11361 13473 13972 14607 15148 17964 19476 20958 22722 26946 29214 31437 34083 41916 45444 53892 58428 62874 68166 94311 102249 125748 136332 188622 204498 269959 377244 408996 539918 809877 1079836 1619754 1889713 2429631 3239508 3779426 4859262 5669139 7288893 7558852 9718524 11338278 14577786 17007417 22676556 29155572 34014834 51022251 68029668 102044502 204089004