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20308608 = 273217261
BaseRepresentation
bin100110101111…
…0001010000000
31102012210011200
41031132022000
520144333413
62003141200
7334422525
oct115361200
942183150
1020308608
1110511181
126974800
134290a38
1429a914c
151bb2573
hex135e280

20308608 has 144 divisors (see below), whose sum is σ = 63097710. Its totient is φ = 6266880.

The previous prime is 20308583. The next prime is 20308621. The reversal of 20308608 is 80680302.

20308608 is a `hidden beast` number, since 20 + 30 + 8 + 608 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17239104 + 3069504 = 4152^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332898 + ... + 332958.

Almost surely, 220308608 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 20308608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31548855).

20308608 is an abundant number, since it is smaller than the sum of its proper divisors (42789102).

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

20308608 is a wasteful number, since it uses less digits than its factorization.

20308608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

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

The square root of 20308608 is about 4506.5072950124. The cubic root of 20308608 is about 272.8307931861.

The spelling of 20308608 in words is "twenty million, three hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 61 64 68 72 96 102 122 128 136 144 153 183 192 204 244 272 288 289 306 366 384 408 488 544 549 576 578 612 732 816 867 976 1037 1088 1098 1152 1156 1224 1464 1632 1734 1952 2074 2176 2196 2312 2448 2601 2928 3111 3264 3468 3904 4148 4392 4624 4896 5202 5856 6222 6528 6936 7808 8296 8784 9248 9333 9792 10404 11712 12444 13872 16592 17568 17629 18496 18666 19584 20808 23424 24888 27744 33184 35136 35258 36992 37332 41616 49776 52887 55488 66368 70272 70516 74664 83232 99552 105774 110976 132736 141032 149328 158661 166464 199104 211548 282064 298656 317322 332928 398208 423096 564128 597312 634644 846192 1128256 1194624 1269288 1692384 2256512 2538576 3384768 5077152 6769536 10154304 20308608