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390471660 = 22325192931127
BaseRepresentation
bin10111010001100…
…001111111101100
31000012202000102100
4113101201333230
51244430043120
6102425055100
712450645225
oct2721417754
91005660370
10390471660
11190458157
12aa927490
1362b86627
1439c0424c
1524430490
hex17461fec

390471660 has 288 divisors, whose sum is σ = 1341849600. Its totient is φ = 91445760.

The previous prime is 390471649. The next prime is 390471673. The reversal of 390471660 is 66174093.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3074517 + ... + 3074643.

It is an arithmetic number, because the mean of its divisors is an integer number (4659200).

Almost surely, 2390471660 is an apocalyptic number.

390471660 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 390471660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670924800).

390471660 is an abundant number, since it is smaller than the sum of its proper divisors (951377940).

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

390471660 is a wasteful number, since it uses less digits than its factorization.

390471660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 390471660 is about 19760.3557660281. The cubic root of 390471660 is about 730.9087700067.

The spelling of 390471660 in words is "three hundred ninety million, four hundred seventy-one thousand, six hundred sixty".