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20654676 = 2234721301
BaseRepresentation
bin100111011001…
…0101001010100
31102212100220000
41032302221110
520241422201
62014411300
7340363500
oct116625124
942770800
1020654676
1110728189
126b00b30
134382403
142a59300
151c2ed86
hex13b2a54

20654676 has 90 divisors (see below), whose sum is σ = 62859258. Its totient is φ = 5896800.

The previous prime is 20654671. The next prime is 20654687. The reversal of 20654676 is 67645602.

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 9922500 = 3276^2 + 3150^2 .

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 20654676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20654671) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15226 + ... + 16526.

Almost surely, 220654676 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 20654676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31429629).

20654676 is an abundant number, since it is smaller than the sum of its proper divisors (42204582).

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

20654676 is a wasteful number, since it uses less digits than its factorization.

20654676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 20654676 is about 4544.7415768116. The cubic root of 20654676 is about 274.3717935744.

The spelling of 20654676 in words is "twenty million, six hundred fifty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1301 1323 1764 2268 2602 2646 3903 3969 5204 5292 7806 7938 9107 11709 15612 15876 18214 23418 27321 35127 36428 46836 54642 63749 70254 81963 105381 109284 127498 140508 163926 191247 210762 245889 254996 327852 382494 421524 491778 573741 737667 764988 983556 1147482 1475334 1721223 2294964 2950668 3442446 5163669 6884892 10327338 20654676