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20542980 = 2235893847
BaseRepresentation
bin100111001011…
…1011000000100
31102122200200010
41032113120010
520224333410
62012150220
7336420033
oct116273004
942580603
1020542980
1110661277
126a68370
134343613
142a2a71a
151c0bc20
hex1397604

20542980 has 48 divisors (see below), whose sum is σ = 58181760. Its totient is φ = 5415168.

The previous prime is 20542967. The next prime is 20542993. The reversal of 20542980 is 8924502.

It is an interprime number because it is at equal distance from previous prime (20542967) and next prime (20542993).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3417 + ... + 7263.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 220542980 is an apocalyptic number.

20542980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20542980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29090880).

20542980 is an abundant number, since it is smaller than the sum of its proper divisors (37638780).

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

20542980 is a wasteful number, since it uses less digits than its factorization.

20542980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20542980 is about 4532.4364308835. The cubic root of 20542980 is about 273.8763183424.

The spelling of 20542980 in words is "twenty million, five hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 3847 5340 7694 11541 15388 19235 23082 38470 46164 57705 76940 115410 230820 342383 684766 1027149 1369532 1711915 2054298 3423830 4108596 5135745 6847660 10271490 20542980