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20424624 = 24311101383
BaseRepresentation
bin100110111101…
…0011110110000
31102102200022120
41031322132300
520212041444
62005434240
7335415003
oct115723660
942380276
1020424624
1110590360
126a0b980
13430179c
1429d953a
151bd6b19
hex137a7b0

20424624 has 80 divisors (see below), whose sum is σ = 58281984. Its totient is φ = 6112000.

The previous prime is 20424619. The next prime is 20424631. The reversal of 20424624 is 42642402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20424594 and 20424603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53137 + ... + 53519.

Almost surely, 220424624 is an apocalyptic number.

20424624 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 20424624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29140992).

20424624 is an abundant number, since it is smaller than the sum of its proper divisors (37857360).

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

20424624 is a wasteful number, since it uses less digits than its factorization.

20424624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 20424624 is about 4519.3610167810. The cubic root of 20424624 is about 273.3493360979.

It can be divided in two parts, 2042 and 4624, that added together give a palindrome (6666).

The spelling of 20424624 in words is "twenty million, four hundred twenty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 383 404 528 606 766 808 1111 1149 1212 1532 1616 2222 2298 2424 3064 3333 4213 4444 4596 4848 6128 6666 8426 8888 9192 12639 13332 16852 17776 18384 25278 26664 33704 38683 50556 53328 67408 77366 101112 116049 154732 202224 232098 309464 425513 464196 618928 851026 928392 1276539 1702052 1856784 2553078 3404104 5106156 6808208 10212312 20424624