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39122040 = 2335973361
BaseRepresentation
bin1001010100111…
…1010001111000
32201121121100110
42111033101320
540003401130
63514304320
7653350266
oct225172170
981547313
1039122040
11200a0a71
12111280a0
13814a049
1452a5436
15367bab0
hex254f478

39122040 has 64 divisors (see below), whose sum is σ = 118611360. Its totient is φ = 10321920.

The previous prime is 39122029. The next prime is 39122053. The reversal of 39122040 is 4022193.

39122040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 39121998 and 39122016.

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, 9960 + ... + 13320.

Almost surely, 239122040 is an apocalyptic number.

39122040 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 39122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59305680).

39122040 is an abundant number, since it is smaller than the sum of its proper divisors (79489320).

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

39122040 is a wasteful number, since it uses less digits than its factorization.

39122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 39122040 is about 6254.7613863360. The cubic root of 39122040 is about 339.4745054142.

The spelling of 39122040 in words is "thirty-nine million, one hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3361 3880 5820 6722 10083 11640 13444 16805 20166 26888 33610 40332 50415 67220 80664 100830 134440 201660 326017 403320 652034 978051 1304068 1630085 1956102 2608136 3260170 3912204 4890255 6520340 7824408 9780510 13040680 19561020 39122040