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39937140 = 22325221873
BaseRepresentation
bin1001100001011…
…0010001110100
32210011000110100
42120112101310
540210442030
63543554100
7663313545
oct230262164
983130410
1039937140
11205a8401
121145b930
138374059
1454384cc
15378d360
hex2616474

39937140 has 36 divisors (see below), whose sum is σ = 121143204. Its totient is φ = 10649856.

The previous prime is 39937133. The next prime is 39937141. The reversal of 39937140 is 4173993.

It can be written as a sum of positive squares in 2 ways, for example, as 5503716 + 34433424 = 2346^2 + 5868^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 39937095 and 39937104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39937141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 110757 + ... + 111116.

It is an arithmetic number, because the mean of its divisors is an integer number (3365089).

Almost surely, 239937140 is an apocalyptic number.

39937140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39937140 is an abundant number, since it is smaller than the sum of its proper divisors (81206064).

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

39937140 is a wasteful number, since it uses less digits than its factorization.

39937140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221888 (or 221883 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 39937140 is about 6319.5838470583. The cubic root of 39937140 is about 341.8159469294.

The spelling of 39937140 in words is "thirty-nine million, nine hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 221873 443746 665619 887492 1109365 1331238 1996857 2218730 2662476 3328095 3993714 4437460 6656190 7987428 9984285 13312380 19968570 39937140