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20014624 = 257199449
BaseRepresentation
bin100110001011…
…0011000100000
31101122211220101
41030112120200
520110431444
61552552144
7332056450
oct114263040
941584811
1020014624
1110330313
126852654
1341b9c96
14292dd60
151b553d4
hex1316620

20014624 has 48 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 8515584.

The previous prime is 20014591. The next prime is 20014637. The reversal of 20014624 is 42641002.

It is a super-2 number, since 2×200146242 = 801170347722752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44352 + ... + 44800.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 220014624 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 20014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20014624 is an abundant number, since it is smaller than the sum of its proper divisors (25345376).

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

20014624 is a wasteful number, since it uses less digits than its factorization.

20014624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 20014624 is about 4473.7706691336. The cubic root of 20014624 is about 271.5079049462.

Adding to 20014624 its reverse (42641002), we get a palindrome (62655626).

The spelling of 20014624 in words is "twenty million, fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 449 796 898 1393 1592 1796 2786 3143 3184 3592 5572 6286 6368 7184 11144 12572 14368 22288 25144 44576 50288 89351 100576 178702 357404 625457 714808 1250914 1429616 2501828 2859232 5003656 10007312 20014624