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20042400 = 2535271193
BaseRepresentation
bin100110001110…
…1001010100000
31101201021000010
41030131022200
520112324100
61553324520
7332233440
oct114351240
941637003
1020042400
111034a174
126866740
1341c9811
14293a120
151b5d750
hex131d2a0

20042400 has 144 divisors (see below), whose sum is σ = 74620224. Its totient is φ = 4577280.

The previous prime is 20042389. The next prime is 20042413. The reversal of 20042400 is 424002.

It is a super-4 number, since 4×200424004 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16204 + ... + 17396.

It is an arithmetic number, because the mean of its divisors is an integer number (518196).

Almost surely, 220042400 is an apocalyptic number.

20042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37310112).

20042400 is an abundant number, since it is smaller than the sum of its proper divisors (54577824).

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

20042400 is a wasteful number, since it uses less digits than its factorization.

20042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20042400 is about 4476.8739093256. The cubic root of 20042400 is about 271.6334451118.

Adding to 20042400 its reverse (424002), we get a palindrome (20466402).

The spelling of 20042400 in words is "twenty million, forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1193 1200 1400 1680 2100 2386 2400 2800 3360 3579 4200 4772 5600 5965 7158 8351 8400 9544 11930 14316 16702 16800 17895 19088 23860 25053 28632 29825 33404 35790 38176 41755 47720 50106 57264 59650 66808 71580 83510 89475 95440 100212 114528 119300 125265 133616 143160 167020 178950 190880 200424 208775 238600 250530 267232 286320 334040 357900 400848 417550 477200 501060 572640 626325 668080 715800 801696 835100 954400 1002120 1252650 1336160 1431600 1670200 2004240 2505300 2863200 3340400 4008480 5010600 6680800 10021200 20042400