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20041504 = 2571719277
BaseRepresentation
bin100110001110…
…0111100100000
31101201012202221
41030130330200
520112312004
61553320424
7332231020
oct114347440
941635687
1020041504
111034952a
126866114
1341c92a2
142939a80
151b5d354
hex131cf20

20041504 has 96 divisors (see below), whose sum is σ = 50440320. Its totient is φ = 7630848.

The previous prime is 20041501. The next prime is 20041507. The reversal of 20041504 is 40514002.

It is an interprime number because it is at equal distance from previous prime (20041501) and next prime (20041507).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20041501) 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 15 ways as a sum of consecutive naturals, for example, 72214 + ... + 72490.

It is an arithmetic number, because the mean of its divisors is an integer number (525420).

Almost surely, 220041504 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 20041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25220160).

20041504 is an abundant number, since it is smaller than the sum of its proper divisors (30398816).

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

20041504 is a wasteful number, since it uses less digits than its factorization.

20041504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 20041504 is about 4476.7738383796. The cubic root of 20041504 is about 271.6293972401.

Adding to 20041504 its reverse (40514002), we get a palindrome (60555506).

The spelling of 20041504 in words is "twenty million, forty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 277 304 323 476 532 544 554 608 646 952 1064 1108 1292 1904 1939 2128 2216 2261 2584 3808 3878 4256 4432 4522 4709 5168 5263 7756 8864 9044 9418 10336 10526 15512 18088 18836 21052 31024 32963 36176 36841 37672 42104 62048 65926 72352 73682 75344 84208 89471 131852 147364 150688 168416 178942 263704 294728 357884 527408 589456 626297 715768 1054816 1178912 1252594 1431536 2505188 2863072 5010376 10020752 20041504