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20608308 = 22327531543
BaseRepresentation
bin100111010011…
…1010100110100
31102210000021200
41032213110310
520233431213
62013412500
7340111350
oct116472464
942700250
1020608308
11106a6366
126a9a130
134367286
142a46460
151c21273
hex13a7534

20608308 has 72 divisors (see below), whose sum is σ = 60697728. Its totient is φ = 5773248.

The previous prime is 20608277. The next prime is 20608349. The reversal of 20608308 is 80380602.

20608308 is a `hidden beast` number, since 20 + 608 + 30 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12585 + ... + 14127.

It is an arithmetic number, because the mean of its divisors is an integer number (843024).

Almost surely, 220608308 is an apocalyptic number.

20608308 is a gapful number since it is divisible by the number (28) 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 20608308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30348864).

20608308 is an abundant number, since it is smaller than the sum of its proper divisors (40089420).

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

20608308 is a wasteful number, since it uses less digits than its factorization.

20608308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20608308 is about 4539.6374304563. The cubic root of 20608308 is about 274.1663259245.

The spelling of 20608308 in words is "twenty million, six hundred eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1543 1908 2226 3086 3339 4452 4629 6172 6678 9258 10801 13356 13887 18516 21602 27774 32403 43204 55548 64806 81779 97209 129612 163558 194418 245337 327116 388836 490674 572453 736011 981348 1144906 1472022 1717359 2289812 2944044 3434718 5152077 6869436 10304154 20608308