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20197296 = 243376679
BaseRepresentation
bin100110100001…
…0111110110000
31102000010111000
41031002332300
520132303141
62000522000
7333450150
oct115027660
942003430
1020197296
1110445589
126920300
134252182
14297a760
151b8e5b6
hex1342fb0

20197296 has 80 divisors (see below), whose sum is σ = 66265600. Its totient is φ = 5769792.

The previous prime is 20197291. The next prime is 20197313. The reversal of 20197296 is 69279102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20197296.

It is not an unprimeable number, because it can be changed into a prime (20197291) 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, 316 + ... + 6363.

It is an arithmetic number, because the mean of its divisors is an integer number (828320).

Almost surely, 220197296 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 20197296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33132800).

20197296 is an abundant number, since it is smaller than the sum of its proper divisors (46068304).

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

20197296 is a wasteful number, since it uses less digits than its factorization.

20197296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 20197296 is about 4494.1401847294. The cubic root of 20197296 is about 272.3314155188.

The spelling of 20197296 in words is "twenty million, one hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 6679 13358 20037 26716 40074 46753 53432 60111 80148 93506 106864 120222 140259 160296 180333 187012 240444 280518 320592 360666 374024 420777 480888 561036 721332 748048 841554 961776 1122072 1262331 1442664 1683108 2244144 2524662 2885328 3366216 5049324 6732432 10098648 20197296