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39121380 = 22345193141
BaseRepresentation
bin1001010100111…
…1000111100100
32201121120110000
42111033013210
540003341010
63514301300
7653345334
oct225170744
981546400
1039121380
11200a0521
1211127830
13814995c
1452a50c4
15367b7c0
hex254f1e4

39121380 has 240 divisors, whose sum is σ = 136604160. Its totient is φ = 9331200.

The previous prime is 39121363. The next prime is 39121393. The reversal of 39121380 is 8312193.

39121380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 954160 + ... + 954200.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 239121380 is an apocalyptic number.

39121380 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 39121380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

39121380 is an abundant number, since it is smaller than the sum of its proper divisors (97482780).

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

39121380 is a wasteful number, since it uses less digits than its factorization.

39121380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 39121380 is about 6254.7086263071. The cubic root of 39121380 is about 339.4725963929.

The spelling of 39121380 in words is "thirty-nine million, one hundred twenty-one thousand, three hundred eighty".