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396556020 = 22335732141
BaseRepresentation
bin10111101000101…
…111011011110100
31000122012010121000
4113220233123310
51303004243040
6103203323300
712553446000
oct2750573364
91018163530
10396556020
11193933453
12b0980530
1364206b43
143a949700
1524c33130
hex17a2f6f4

396556020 has 192 divisors, whose sum is σ = 1439424000. Its totient is φ = 90599040.

The previous prime is 396556009. The next prime is 396556021. The reversal of 396556020 is 20655693.

396556020 is a `hidden beast` number, since 3 + 96 + 5 + 560 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396556021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184150 + ... + 186290.

It is an arithmetic number, because the mean of its divisors is an integer number (7497000).

Almost surely, 2396556020 is an apocalyptic number.

396556020 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 396556020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712000).

396556020 is an abundant number, since it is smaller than the sum of its proper divisors (1042867980).

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

396556020 is a wasteful number, since it uses less digits than its factorization.

396556020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 396556020 is about 19913.7143697503. The cubic root of 396556020 is about 734.6855798014.

The spelling of 396556020 in words is "three hundred ninety-six million, five hundred fifty-six thousand, twenty".