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20757540 = 2235347997
BaseRepresentation
bin100111100101…
…1110000100100
31110001120222210
41033023300210
520303220130
62020523420
7341302416
oct117136044
943046883
1020757540
11107984a1
126b50570
1343ba18b
142a849b6
151c505b0
hex13cbc24

20757540 has 48 divisors (see below), whose sum is σ = 58347072. Its totient is φ = 5513856.

The previous prime is 20757511. The next prime is 20757577. The reversal of 20757540 is 4575702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20757498 and 20757507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20322 + ... + 21318.

It is an arithmetic number, because the mean of its divisors is an integer number (1215564).

Almost surely, 220757540 is an apocalyptic number.

20757540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20757540 is an abundant number, since it is smaller than the sum of its proper divisors (37589532).

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

20757540 is a wasteful number, since it uses less digits than its factorization.

20757540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 20757540 is about 4556.0443369221. The cubic root of 20757540 is about 274.8265131664.

The spelling of 20757540 in words is "twenty million, seven hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 347 694 997 1041 1388 1735 1994 2082 2991 3470 3988 4164 4985 5205 5982 6940 9970 10410 11964 14955 19940 20820 29910 59820 345959 691918 1037877 1383836 1729795 2075754 3459590 4151508 5189385 6919180 10378770 20757540