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20719296 = 2632132767
BaseRepresentation
bin100111100001…
…0011011000000
31102222122112100
41033002123000
520301004141
62020030400
7341053053
oct117023300
942878470
1020719296
1110771794
126b32400
1343a5950
142a74a9a
151c440b6
hex13c26c0

20719296 has 84 divisors (see below), whose sum is σ = 63979552. Its totient is φ = 6372864.

The previous prime is 20719273. The next prime is 20719301. The reversal of 20719296 is 69291702.

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 20719296.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6105 + ... + 8871.

Almost surely, 220719296 is an apocalyptic number.

20719296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20719296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31989776).

20719296 is an abundant number, since it is smaller than the sum of its proper divisors (43260256).

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

20719296 is a wasteful number, since it uses less digits than its factorization.

20719296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2785 counting only the distinct ones).

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

The square root of 20719296 is about 4551.8453400791. The cubic root of 20719296 is about 274.6576279218.

It can be divided in two parts, 207 and 19296, that added together give a triangular number (19503 = T197).

The spelling of 20719296 in words is "twenty million, seven hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 2767 3744 5534 7488 8301 11068 16602 22136 24903 33204 35971 44272 49806 66408 71942 88544 99612 107913 132816 143884 177088 199224 215826 265632 287768 323739 398448 431652 531264 575536 647478 796896 863304 1151072 1294956 1593792 1726608 2302144 2589912 3453216 5179824 6906432 10359648 20719296