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20700405 = 32511193171
BaseRepresentation
bin100111011110…
…1110011110101
31102221200121200
41032331303311
520244403110
62015403113
7340644015
oct116756365
942850550
1020700405
1110759580
126b23499
13439a17b
142a6bc45
151c3d6c0
hex13bdcf5

20700405 has 96 divisors (see below), whose sum is σ = 43130880. Its totient is φ = 9072000.

The previous prime is 20700401. The next prime is 20700413. The reversal of 20700405 is 50400702.

It is a happy number.

It is not a de Polignac number, because 20700405 - 22 = 20700401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20700401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291520 + ... + 291590.

It is an arithmetic number, because the mean of its divisors is an integer number (449280).

Almost surely, 220700405 is an apocalyptic number.

It is an amenable number.

20700405 is an abundant number, since it is smaller than the sum of its proper divisors (22430475).

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

20700405 is a wasteful number, since it uses less digits than its factorization.

20700405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20700405 is about 4549.7697743952. The cubic root of 20700405 is about 274.5741287052.

The spelling of 20700405 in words is "twenty million, seven hundred thousand, four hundred five".

Divisors: 1 3 5 9 11 15 19 31 33 45 55 57 71 93 95 99 155 165 171 209 213 279 285 341 355 465 495 589 627 639 781 855 1023 1045 1065 1349 1395 1705 1767 1881 2201 2343 2945 3069 3135 3195 3905 4047 5115 5301 6479 6603 6745 7029 8835 9405 11005 11715 12141 14839 15345 19437 19809 20235 24211 26505 32395 33015 35145 41819 44517 58311 60705 72633 74195 97185 99045 121055 125457 133551 209095 217899 222585 291555 363165 376371 460009 627285 667755 1089495 1380027 1881855 2300045 4140081 6900135 20700405