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20736630 = 23251132039
BaseRepresentation
bin100111100011…
…0101001110110
31110000112022100
41033012221312
520302033010
62020242530
7341154435
oct117065166
943015270
1020736630
1110783812
126b40446
1343b07c5
142a7b11c
151c492c0
hex13c6a76

20736630 has 48 divisors (see below), whose sum is σ = 54419040. Its totient is φ = 5478144.

The previous prime is 20736623. The next prime is 20736647. The reversal of 20736630 is 3663702.

20736630 is a `hidden beast` number, since 20 + 7 + 3 + 6 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20736594 and 20736603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9151 + ... + 11189.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 220736630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20736630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

20736630 is an abundant number, since it is smaller than the sum of its proper divisors (33682410).

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

20736630 is a wasteful number, since it uses less digits than its factorization.

20736630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 20736630 is about 4553.7490049409. The cubic root of 20736630 is about 274.7342004762.

The spelling of 20736630 in words is "twenty million, seven hundred thirty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 2039 3390 4078 5085 6117 10170 10195 12234 18351 20390 30585 36702 61170 91755 183510 230407 460814 691221 1152035 1382442 2073663 2304070 3456105 4147326 6912210 10368315 20736630