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20308992 = 210311601
BaseRepresentation
bin100110101111…
…0010000000000
31102012210200220
41031132100000
520144341432
62003143040
7334423614
oct115362000
942183626
1020308992
11105114a0
126974a80
134290c72
1429a9344
151bb272c
hex135e400

20308992 has 88 divisors (see below), whose sum is σ = 59150112. Its totient is φ = 6144000.

The previous prime is 20308991. The next prime is 20308993. The reversal of 20308992 is 29980302.

It is an interprime number because it is at equal distance from previous prime (20308991) and next prime (20308993).

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20308991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33492 + ... + 34092.

Almost surely, 220308992 is an apocalyptic number.

20308992 is a gapful number since it is divisible by the number (22) 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 20308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29575056).

20308992 is an abundant number, since it is smaller than the sum of its proper divisors (38841120).

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

20308992 is a wasteful number, since it uses less digits than its factorization.

20308992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 20308992 is about 4506.5498998680. The cubic root of 20308992 is about 272.8325127585.

The spelling of 20308992 in words is "twenty million, three hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 601 704 768 1024 1056 1202 1408 1536 1803 2112 2404 2816 3072 3606 4224 4808 5632 6611 7212 8448 9616 11264 13222 14424 16896 19232 19833 26444 28848 33792 38464 39666 52888 57696 76928 79332 105776 115392 153856 158664 211552 230784 307712 317328 423104 461568 615424 634656 846208 923136 1269312 1692416 1846272 2538624 3384832 5077248 6769664 10154496 20308992