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20724957 = 3311312251
BaseRepresentation
bin100111100001…
…1110011011101
31102222221022000
41033003303131
520301144312
62020112513
7341105421
oct117036335
942887260
1020724957
1110775a70
126b35739
1343a83b6
142a76b81
151c45adc
hex13c3cdd

20724957 has 32 divisors (see below), whose sum is σ = 34590720. Its totient is φ = 12150000.

The previous prime is 20724943. The next prime is 20724959. The reversal of 20724957 is 75942702.

It is not a de Polignac number, because 20724957 - 24 = 20724941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20724959) 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, 8082 + ... + 10332.

It is an arithmetic number, because the mean of its divisors is an integer number (1080960).

Almost surely, 220724957 is an apocalyptic number.

20724957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20724957 is a deficient number, since it is larger than the sum of its proper divisors (13865763).

20724957 is a wasteful number, since it uses less digits than its factorization.

20724957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 20724957 is about 4552.4671333245. The cubic root of 20724957 is about 274.6826399564.

The spelling of 20724957 in words is "twenty million, seven hundred twenty-four thousand, nine hundred fifty-seven".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 2251 3069 6753 9207 20259 24761 60777 69781 74283 209343 222849 628029 668547 767591 1884087 2302773 6908319 20724957