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20390496 = 2537191597
BaseRepresentation
bin100110111001…
…0001001100000
31102100221111120
41031302021200
520204443441
62005012240
7335213340
oct115621140
942327446
1020390496
1110567755
1269b4080
1342bc0a9
1429cad20
151bcb966
hex1372260

20390496 has 96 divisors (see below), whose sum is σ = 64431360. Its totient is φ = 5515776.

The previous prime is 20390483. The next prime is 20390549. The reversal of 20390496 is 69409302.

20390496 = T223 + T224 + ... + T510.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11970 + ... + 13566.

It is an arithmetic number, because the mean of its divisors is an integer number (671160).

Almost surely, 220390496 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 20390496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32215680).

20390496 is an abundant number, since it is smaller than the sum of its proper divisors (44040864).

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

20390496 is a wasteful number, since it uses less digits than its factorization.

20390496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 20390496 is about 4515.5836832020. The cubic root of 20390496 is about 273.1970025402.

Adding to 20390496 its reverse (69409302), we get a palindrome (89799798).

The spelling of 20390496 in words is "twenty million, three hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1597 1824 2128 3192 3194 4256 4791 6384 6388 9582 11179 12768 12776 19164 22358 25552 30343 33537 38328 44716 51104 60686 67074 76656 89432 91029 121372 134148 153312 178864 182058 212401 242744 268296 357728 364116 424802 485488 536592 637203 728232 849604 970976 1073184 1274406 1456464 1699208 2548812 2912928 3398416 5097624 6796832 10195248 20390496