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20300896 = 2572112107
BaseRepresentation
bin100110101110…
…0010001100000
31102012101121001
41031130101200
520144112041
62003041344
7334361200
oct115342140
942171531
1020300896
1110506400
126970254
13428a385
1429a6400
151bb0131
hex135c460

20300896 has 108 divisors (see below), whose sum is σ = 51581124. Its totient is φ = 7835520.

The previous prime is 20300879. The next prime is 20300947. The reversal of 20300896 is 69800302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189675 + ... + 189781.

It is an arithmetic number, because the mean of its divisors is an integer number (477603).

Almost surely, 220300896 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 20300896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25790562).

20300896 is an abundant number, since it is smaller than the sum of its proper divisors (31280228).

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

20300896 is a wasteful number, since it uses less digits than its factorization.

20300896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 20300896 is about 4505.6515622050. The cubic root of 20300896 is about 272.7962538507.

The spelling of 20300896 in words is "twenty million, three hundred thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 107 112 121 154 176 196 214 224 242 308 352 392 428 484 539 616 749 784 847 856 968 1078 1177 1232 1498 1568 1694 1712 1936 2156 2354 2464 2996 3388 3424 3872 4312 4708 5243 5929 5992 6776 8239 8624 9416 10486 11858 11984 12947 13552 16478 17248 18832 20972 23716 23968 25894 27104 32956 37664 41944 47432 51788 57673 65912 83888 90629 94864 103576 115346 131824 167776 181258 189728 207152 230692 263648 362516 414304 461384 634403 725032 922768 1268806 1450064 1845536 2537612 2900128 5075224 10150448 20300896