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20065960 = 2352332153
BaseRepresentation
bin100110010001…
…0111010101000
31101202110022201
41030202322220
520114102320
61554025544
7332362225
oct114427250
941673281
1020065960
1110365942
1268782b4
134207465
14294494c
151b6570a
hex1322ea8

20065960 has 32 divisors (see below), whose sum is σ = 45363240. Its totient is φ = 7988224.

The previous prime is 20065943. The next prime is 20065961. The reversal of 20065960 is 6956002.

20065960 = T3656 + T3657 + T3658.

It can be written as a sum of positive squares in 4 ways, for example, as 8191044 + 11874916 = 2862^2 + 3446^2 .

It is not an unprimeable number, because it can be changed into a prime (20065961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8244 + ... + 10396.

Almost surely, 220065960 is an apocalyptic number.

20065960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20065960 is the 3658-th centered triangular number.

It is an amenable number.

20065960 is an abundant number, since it is smaller than the sum of its proper divisors (25297280).

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

20065960 is a wasteful number, since it uses less digits than its factorization.

20065960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 20065960 is about 4479.5044368769. The cubic root of 20065960 is about 271.7398391893.

It can be divided in two parts, 20065 and 960, that added together give a square (21025 = 1452).

The spelling of 20065960 in words is "twenty million, sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1864 2153 2330 4306 4660 8612 9320 10765 17224 21530 43060 86120 501649 1003298 2006596 2508245 4013192 5016490 10032980 20065960