Search a number
-
+
20582424 = 2334231381
BaseRepresentation
bin100111010000…
…1000000011000
31102201200210000
41032201000120
520232114144
62013053000
7336643032
oct116410030
942650700
1020582424
1110688975
126a87160
134358565
142a3ac52
151c18769
hex13a1018

20582424 has 80 divisors (see below), whose sum is σ = 60199920. Its totient is φ = 6557760.

The previous prime is 20582399. The next prime is 20582473. The reversal of 20582424 is 42428502.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14214 + ... + 15594.

It is an arithmetic number, because the mean of its divisors is an integer number (752499).

Almost surely, 220582424 is an apocalyptic number.

20582424 is a gapful number since it is divisible by the number (24) 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 20582424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30099960).

20582424 is an abundant number, since it is smaller than the sum of its proper divisors (39617496).

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

20582424 is a wasteful number, since it uses less digits than its factorization.

20582424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20582424 is about 4536.7856462478. The cubic root of 20582424 is about 274.0514936875.

The spelling of 20582424 in words is "twenty million, five hundred eighty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1381 1656 1863 2484 2762 3726 4143 4968 5524 7452 8286 11048 12429 14904 16572 24858 31763 33144 37287 49716 63526 74574 95289 99432 111861 127052 149148 190578 223722 254104 285867 298296 381156 447444 571734 762312 857601 894888 1143468 1715202 2286936 2572803 3430404 5145606 6860808 10291212 20582424