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3956040 = 233551137
BaseRepresentation
bin1111000101110101001000
321102222200000
433011311020
52003043130
6220443000
745424434
oct17056510
97388600
103956040
112262260
1213a9460
13a8686a
1474d9c4
15532260
hex3c5d48

3956040 has 192 divisors, whose sum is σ = 14938560. Its totient is φ = 933120.

The previous prime is 3956027. The next prime is 3956041. The reversal of 3956040 is 406593.

It is a happy number.

3956040 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 junction number, because it is equal to n+sod(n) for n = 3955995 and 3956013.

It is not an unprimeable number, because it can be changed into a prime (3956041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106902 + ... + 106938.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 23956040 is an apocalyptic number.

3956040 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 3956040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

3956040 is an abundant number, since it is smaller than the sum of its proper divisors (10982520).

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

3956040 is a wasteful number, since it uses less digits than its factorization.

3956040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3956040 is about 1988.9796379048. The cubic root of 3956040 is about 158.1564438814.

3956040 divided by its product of nonzero digits (3240) gives a palindrome (1221).

The spelling of 3956040 in words is "three million, nine hundred fifty-six thousand, forty".