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20726970 = 23511107587
BaseRepresentation
bin100111100010…
…0010010111010
31110000001001120
41033010102322
520301230340
62020130110
7341114325
oct117042272
943001046
1020726970
1110777530
126b36936
1343a92a4
142a777bc
151c464d0
hex13c44ba

20726970 has 64 divisors (see below), whose sum is σ = 54867456. Its totient is φ = 4969280.

The previous prime is 20726939. The next prime is 20726971. The reversal of 20726970 is 7962702.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20726971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35017 + ... + 35603.

It is an arithmetic number, because the mean of its divisors is an integer number (857304).

Almost surely, 220726970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20726970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27433728).

20726970 is an abundant number, since it is smaller than the sum of its proper divisors (34140486).

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

20726970 is a wasteful number, since it uses less digits than its factorization.

20726970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 20726970 is about 4552.6882168670. The cubic root of 20726970 is about 274.6915329102.

The spelling of 20726970 in words is "twenty million, seven hundred twenty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 321 330 535 587 642 1070 1174 1177 1605 1761 2354 2935 3210 3522 3531 5870 5885 6457 7062 8805 11770 12914 17610 17655 19371 32285 35310 38742 62809 64570 96855 125618 188427 193710 314045 376854 628090 690899 942135 1381798 1884270 2072697 3454495 4145394 6908990 10363485 20726970