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20768496 = 2437113547
BaseRepresentation
bin100111100111…
…0011011110000
31110002011000120
41033032123300
520304042441
62021050240
7341346360
oct117163360
943064016
1020768496
11107a5751
126b56980
1343c2168
142a889a0
151c53966
hex13ce6f0

20768496 has 80 divisors (see below), whose sum is σ = 61972224. Its totient is φ = 5870592.

The previous prime is 20768491. The next prime is 20768497. The reversal of 20768496 is 69486702.

It is a super-2 number, since 2×207684962 = 862660852204032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20768491) 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, 37695 + ... + 38241.

Almost surely, 220768496 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 20768496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30986112).

20768496 is an abundant number, since it is smaller than the sum of its proper divisors (41203728).

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

20768496 is a wasteful number, since it uses less digits than its factorization.

20768496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 20768496 is about 4557.2465371099. The cubic root of 20768496 is about 274.8748565586.

The spelling of 20768496 in words is "twenty million, seven hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 547 678 791 904 1094 1356 1582 1641 1808 2188 2373 2712 3164 3282 3829 4376 4746 5424 6328 6564 7658 8752 9492 11487 12656 13128 15316 18984 22974 26256 30632 37968 45948 61264 61811 91896 123622 183792 185433 247244 370866 432677 494488 741732 865354 988976 1298031 1483464 1730708 2596062 2966928 3461416 5192124 6922832 10384248 20768496