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20042480 = 2452953163
BaseRepresentation
bin100110001110…
…1001011110000
31101201021010002
41030131023300
520112324410
61553325132
7332233613
oct114351360
941637102
1020042480
111034a237
1268667a8
1341c9873
14293a17a
151b5d7a5
hex131d2f0

20042480 has 80 divisors (see below), whose sum is σ = 49416480. Its totient is φ = 7547904.

The previous prime is 20042479. The next prime is 20042483. The reversal of 20042480 is 8424002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122879 + ... + 123041.

It is an arithmetic number, because the mean of its divisors is an integer number (617706).

Almost surely, 220042480 is an apocalyptic number.

20042480 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 20042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24708240).

20042480 is an abundant number, since it is smaller than the sum of its proper divisors (29374000).

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

20042480 is a wasteful number, since it uses less digits than its factorization.

20042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 20042480 is about 4476.8828441227. The cubic root of 20042480 is about 271.6338065231.

Adding to 20042480 its reverse (8424002), we get a palindrome (28466482).

The spelling of 20042480 in words is "twenty million, forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 80 106 116 145 163 212 232 265 290 326 424 464 530 580 652 815 848 1060 1160 1304 1537 1630 2120 2320 2608 3074 3260 4240 4727 6148 6520 7685 8639 9454 12296 13040 15370 17278 18908 23635 24592 30740 34556 37816 43195 47270 61480 69112 75632 86390 94540 122960 138224 172780 189080 250531 345560 378160 501062 691120 1002124 1252655 2004248 2505310 4008496 5010620 10021240 20042480