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20906120 = 2351573329
BaseRepresentation
bin100111111000…
…0000010001000
31110100010210202
41033300002020
520322443440
62024031332
7342461534
oct117600210
943303722
1020906120
111088a094
127002548
13443c9b1
142ac2bc4
151c7e615
hex13f0088

20906120 has 32 divisors (see below), whose sum is σ = 47352600. Its totient is φ = 8306688.

The previous prime is 20906111. The next prime is 20906143. The reversal of 20906120 is 2160902.

It can be written as a sum of positive squares in 4 ways, for example, as 13734436 + 7171684 = 3706^2 + 2678^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20906092 and 20906101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4616 + ... + 7944.

Almost surely, 220906120 is an apocalyptic number.

20906120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20906120 is an abundant number, since it is smaller than the sum of its proper divisors (26446480).

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

20906120 is a wasteful number, since it uses less digits than its factorization.

20906120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 20906120 is about 4572.3210735905. The cubic root of 20906120 is about 275.4806799780.

The spelling of 20906120 in words is "twenty million, nine hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 3329 6280 6658 13316 16645 26632 33290 66580 133160 522653 1045306 2090612 2613265 4181224 5226530 10453060 20906120