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39124980 = 22325217361
BaseRepresentation
bin1001010100111…
…1111111110100
32201121202101100
42111033333310
540003444410
63514330100
7653361666
oct225177764
981552340
1039124980
11200a31a4
1211129930
13814b49b
1452a6536
15367c8c0
hex254fff4

39124980 has 36 divisors (see below), whose sum is σ = 118679652. Its totient is φ = 10433280.

The previous prime is 39124979. The next prime is 39124991. The reversal of 39124980 is 8942193.

It can be written as a sum of positive squares in 2 ways, for example, as 4691556 + 34433424 = 2166^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×391249803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108501 + ... + 108860.

It is an arithmetic number, because the mean of its divisors is an integer number (3296657).

Almost surely, 239124980 is an apocalyptic number.

39124980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39124980 is an abundant number, since it is smaller than the sum of its proper divisors (79554672).

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

39124980 is a wasteful number, since it uses less digits than its factorization.

39124980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217376 (or 217371 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 39124980 is about 6254.9964028767. The cubic root of 39124980 is about 339.4830089760.

It can be divided in two parts, 39124 and 980, that added together give a palindrome (40104).

The spelling of 39124980 in words is "thirty-nine million, one hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 217361 434722 652083 869444 1086805 1304166 1956249 2173610 2608332 3260415 3912498 4347220 6520830 7824996 9781245 13041660 19562490 39124980