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39900540 = 22351096101
BaseRepresentation
bin1001100000110…
…1010101111100
32210002011020210
42120031111330
540203304130
63543112420
7663102051
oct230152574
983064223
1039900540
1120582959
1211442710
1383604b4
145429028
1537825b0
hex260d57c

39900540 has 48 divisors (see below), whose sum is σ = 112764960. Its totient is φ = 10540800.

The previous prime is 39900533. The next prime is 39900563. The reversal of 39900540 is 4500993.

39900540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 = 39900498 and 39900507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3490 + ... + 9590.

It is an arithmetic number, because the mean of its divisors is an integer number (2349270).

Almost surely, 239900540 is an apocalyptic number.

39900540 is a gapful number since it is divisible by the number (30) 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 39900540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56382480).

39900540 is an abundant number, since it is smaller than the sum of its proper divisors (72864420).

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

39900540 is a wasteful number, since it uses less digits than its factorization.

39900540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 39900540 is about 6316.6874230090. The cubic root of 39900540 is about 341.7114970589.

The spelling of 39900540 in words is "thirty-nine million, nine hundred thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6101 6540 12202 18303 24404 30505 36606 61010 73212 91515 122020 183030 366060 665009 1330018 1995027 2660036 3325045 3990054 6650090 7980108 9975135 13300180 19950270 39900540