Search a number
-
+
20907666 = 2331322979
BaseRepresentation
bin100111111000…
…0011010010010
31110100012221000
41033300122102
520323021131
62024042430
7342466203
oct117603222
943305830
1020907666
111089026a
127003416
134440600
142ac35aa
151c7ece6
hex13f0692

20907666 has 96 divisors (see below), whose sum is σ = 52704000. Its totient is φ = 6132672.

The previous prime is 20907659. The next prime is 20907673. The reversal of 20907666 is 66670902.

It is an interprime number because it is at equal distance from previous prime (20907659) and next prime (20907673).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20907666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264615 + ... + 264693.

It is an arithmetic number, because the mean of its divisors is an integer number (549000).

Almost surely, 220907666 is an apocalyptic number.

20907666 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20907666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352000).

20907666 is an abundant number, since it is smaller than the sum of its proper divisors (31796334).

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

20907666 is a wasteful number, since it uses less digits than its factorization.

20907666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20907666 is about 4572.4901312086. The cubic root of 20907666 is about 275.4874703761.

The spelling of 20907666 in words is "twenty million, nine hundred seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 79 87 117 158 169 174 234 237 261 338 351 377 474 507 522 702 711 754 783 1014 1027 1131 1422 1521 1566 2054 2133 2262 2291 3042 3081 3393 4266 4563 4582 4901 6162 6786 6873 9126 9243 9802 10179 13351 13746 14703 18486 20358 20619 26702 27729 29406 29783 40053 41238 44109 55458 59566 61857 80106 88218 89349 120159 123714 132327 178698 240318 264654 268047 360477 387179 536094 720954 774358 804141 1161537 1608282 2323074 3484611 6969222 10453833 20907666