Search a number
-
+
396901890 = 2335711171123
BaseRepresentation
bin10111101010000…
…011111000000010
31000122211201001000
4113222003320002
51303101330030
6103214552430
712556416240
oct2752037002
91018751030
10396901890
1119404a2a0
12b0b08716
13642c83b8
143a9d9790
1524ca0860
hex17a83e02

396901890 has 256 divisors, whose sum is σ = 1398435840. Its totient is φ = 77552640.

The previous prime is 396901871. The next prime is 396901919. The reversal of 396901890 is 98109693.

396901890 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3969018902 = 315062220571144200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 352869 + ... + 353991.

It is an arithmetic number, because the mean of its divisors is an integer number (5462640).

Almost surely, 2396901890 is an apocalyptic number.

396901890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 396901890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699217920).

396901890 is an abundant number, since it is smaller than the sum of its proper divisors (1001533950).

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

396901890 is a wasteful number, since it uses less digits than its factorization.

396901890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 396901890 is about 19922.3966931692. The cubic root of 396901890 is about 734.8991115168.

The spelling of 396901890 in words is "three hundred ninety-six million, nine hundred one thousand, eight hundred ninety".