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20406624 = 253730367
BaseRepresentation
bin100110111011…
…0000101100000
31102101202121220
41031312011200
520211002444
62005215040
7335311350
oct115660540
942352556
1020406624
1110578887
126a01480
1342c6534
1429d2b60
151bd1619
hex1376160

20406624 has 48 divisors (see below), whose sum is σ = 61221888. Its totient is φ = 5830272.

The previous prime is 20406611. The next prime is 20406641. The reversal of 20406624 is 42660402.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 20406594 and 20406603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14512 + ... + 15855.

It is an arithmetic number, because the mean of its divisors is an integer number (1275456).

Almost surely, 220406624 is an apocalyptic number.

20406624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20406624 is an abundant number, since it is smaller than the sum of its proper divisors (40815264).

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

20406624 is a wasteful number, since it uses less digits than its factorization.

20406624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30387 (or 30379 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20406624 is about 4517.3691458636. The cubic root of 20406624 is about 273.2690125604.

The spelling of 20406624 in words is "twenty million, four hundred six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 30367 60734 91101 121468 182202 212569 242936 364404 425138 485872 637707 728808 850276 971744 1275414 1457616 1700552 2550828 2915232 3401104 5101656 6802208 10203312 20406624