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20370768 = 2431141941
BaseRepresentation
bin100110110110…
…1010101010000
31102022221102220
41031231111100
520203331033
62004341040
7335101665
oct115552520
942287386
1020370768
1110553950
1269a4780
1342b3112
1429c3a6c
151bc5bb3
hex136d550

20370768 has 80 divisors (see below), whose sum is σ = 58871232. Its totient is φ = 6016000.

The previous prime is 20370761. The next prime is 20370817. The reversal of 20370768 is 86707302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20370761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21178 + ... + 22118.

Almost surely, 220370768 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 20370768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29435616).

20370768 is an abundant number, since it is smaller than the sum of its proper divisors (38500464).

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

20370768 is a wasteful number, since it uses less digits than its factorization.

20370768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 20370768 is about 4513.3987193688. The cubic root of 20370768 is about 273.1088672055.

The spelling of 20370768 in words is "twenty million, three hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 941 984 1353 1804 1882 1968 2706 2823 3608 3764 5412 5646 7216 7528 10351 10824 11292 15056 20702 21648 22584 31053 38581 41404 45168 62106 77162 82808 115743 124212 154324 165616 231486 248424 308648 424391 462972 496848 617296 848782 925944 1273173 1697564 1851888 2546346 3395128 5092692 6790256 10185384 20370768