Search a number
-
+
39750060 = 22357314371
BaseRepresentation
bin1001011110100…
…0100110101100
32202210111211110
42113220212230
540134000220
63535552020
7661604250
oct227504654
982714743
1039750060
112048a899
121138b610
138309b5c
1453ca260
153752be0
hex25e89ac

39750060 has 192 divisors, whose sum is σ = 136249344. Its totient is φ = 8467200.

The previous prime is 39750059. The next prime is 39750119. The reversal of 39750060 is 6005793.

39750060 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 (30).

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 63 ways as a sum of consecutive naturals, for example, 559825 + ... + 559895.

It is an arithmetic number, because the mean of its divisors is an integer number (709632).

Almost surely, 239750060 is an apocalyptic number.

39750060 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 39750060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68124672).

39750060 is an abundant number, since it is smaller than the sum of its proper divisors (96499284).

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

39750060 is a wasteful number, since it uses less digits than its factorization.

39750060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 39750060 is about 6304.7648647670. The cubic root of 39750060 is about 341.2813815416.

The spelling of 39750060 in words is "thirty-nine million, seven hundred fifty thousand, sixty".