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20294208 = 2632113203
BaseRepresentation
bin100110101101…
…0101001000000
31102012001102100
41031122221000
520143403313
62002550400
7334332534
oct115325100
942161370
1020294208
1110501380
126968400
13428730c
1429a3bc4
151bad173
hex135aa40

20294208 has 84 divisors (see below), whose sum is σ = 63477648. Its totient is φ = 6147840.

The previous prime is 20294203. The next prime is 20294251. The reversal of 20294208 is 80249202.

It is not an unprimeable number, because it can be changed into a prime (20294201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4735 + ... + 7937.

Almost surely, 220294208 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 20294208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31738824).

20294208 is an abundant number, since it is smaller than the sum of its proper divisors (43183440).

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

20294208 is a wasteful number, since it uses less digits than its factorization.

20294208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3219 counting only the distinct ones).

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

The square root of 20294208 is about 4504.9093220619. The cubic root of 20294208 is about 272.7662935683.

It can be divided in two parts, 20294 and 208, that added together give a palindrome (20502).

The spelling of 20294208 in words is "twenty million, two hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 3203 6336 6406 9609 12812 19218 25624 28827 35233 38436 51248 57654 70466 76872 102496 105699 115308 140932 153744 204992 211398 230616 281864 307488 317097 422796 461232 563728 614976 634194 845592 922464 1127456 1268388 1691184 1844928 2254912 2536776 3382368 5073552 6764736 10147104 20294208