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39690540 = 22335312371
BaseRepresentation
bin1001011101101…
…0000100101100
32202200111012000
42113122010230
540130044130
63534412300
7661235601
oct227320454
982614160
1039690540
112044a0aa
1211361090
1382b8a36
1453b26a8
153740260
hex25da12c

39690540 has 96 divisors (see below), whose sum is σ = 127518720. Its totient is φ = 10238400.

The previous prime is 39690533. The next prime is 39690569. The reversal of 39690540 is 4509693.

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 = 39690495 and 39690504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15555 + ... + 17925.

It is an arithmetic number, because the mean of its divisors is an integer number (1328320).

Almost surely, 239690540 is an apocalyptic number.

39690540 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 39690540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63759360).

39690540 is an abundant number, since it is smaller than the sum of its proper divisors (87828180).

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

39690540 is a wasteful number, since it uses less digits than its factorization.

39690540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 39690540 is about 6300.0428569971. The cubic root of 39690540 is about 341.1109565166.

The spelling of 39690540 in words is "thirty-nine million, six hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2371 2790 3348 4185 4742 5580 7113 8370 9484 11855 14226 16740 21339 23710 28452 35565 42678 47420 64017 71130 73501 85356 106695 128034 142260 147002 213390 220503 256068 294004 320085 367505 426780 441006 640170 661509 735010 882012 1102515 1280340 1323018 1470020 1984527 2205030 2646036 3307545 3969054 4410060 6615090 7938108 9922635 13230180 19845270 39690540