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20354004 = 2234115711
BaseRepresentation
bin100110110100…
…1001111010100
31102022002110000
41031221033110
520202312004
62004131300
7335002056
oct115511724
942262400
1020354004
11105422a0
126996b30
1342a85b8
1429bb8d6
151bc0c39
hex13693d4

20354004 has 60 divisors (see below), whose sum is σ = 58056768. Its totient is φ = 6166800.

The previous prime is 20353967. The next prime is 20354023. The reversal of 20354004 is 40045302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 709 + ... + 6419.

Almost surely, 220354004 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 20354004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29028384).

20354004 is an abundant number, since it is smaller than the sum of its proper divisors (37702764).

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

20354004 is a wasteful number, since it uses less digits than its factorization.

20354004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20354004 is about 4511.5412000779. The cubic root of 20354004 is about 273.0339288830.

Adding to 20354004 its reverse (40045302), we get a palindrome (60399306).

The spelling of 20354004 in words is "twenty million, three hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 5711 11422 17133 22844 34266 51399 62821 68532 102798 125642 154197 188463 205596 251284 308394 376926 462591 565389 616788 753852 925182 1130778 1696167 1850364 2261556 3392334 5088501 6784668 10177002 20354004