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20694672 = 24321371049
BaseRepresentation
bin100111011110…
…0011010010000
31102221101202100
41032330122100
520244212142
62015320400
7340621215
oct116743220
942841670
1020694672
1110755239
126b20100
13439768b
142a69b0c
151c3bb4c
hex13bc690

20694672 has 60 divisors (see below), whose sum is σ = 58394700. Its totient is φ = 6841344.

The previous prime is 20694671. The next prime is 20694673. The reversal of 20694672 is 27649602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20694671) and next prime (20694673).

It can be written as a sum of positive squares in 2 ways, for example, as 15872256 + 4822416 = 3984^2 + 2196^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20694671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19204 + ... + 20252.

It is an arithmetic number, because the mean of its divisors is an integer number (973245).

Almost surely, 220694672 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 20694672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29197350).

20694672 is an abundant number, since it is smaller than the sum of its proper divisors (37700028).

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

20694672 is a wasteful number, since it uses less digits than its factorization.

20694672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 20694672 is about 4549.1396988881. The cubic root of 20694672 is about 274.5487784955.

The spelling of 20694672 in words is "twenty million, six hundred ninety-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1049 1096 1233 1644 2098 2192 2466 3147 3288 4196 4932 6294 6576 8392 9441 9864 12588 16784 18882 19728 25176 37764 50352 75528 143713 151056 287426 431139 574852 862278 1149704 1293417 1724556 2299408 2586834 3449112 5173668 6898224 10347336 20694672