Search a number
-
+
390871040 = 2115721941
BaseRepresentation
bin10111010011000…
…011100000000000
31000020111022021012
4113103003200000
51300030333130
6102441420052
712454230500
oct2723034000
91006438235
10390871040
1119070021a
12aaa9a628
1362c96351
1439ca9a00
15244ad995
hex174c3800

390871040 has 288 divisors, whose sum is σ = 1176411600. Its totient is φ = 123863040.

The previous prime is 390871031. The next prime is 390871067. The reversal of 390871040 is 40178093.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 390870988 and 390871006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9533420 + ... + 9533460.

Almost surely, 2390871040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588205800).

390871040 is an abundant number, since it is smaller than the sum of its proper divisors (785540560).

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

390871040 is a wasteful number, since it uses less digits than its factorization.

390871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 390871040 is about 19770.4587706001. The cubic root of 390871040 is about 731.1578797438.

The spelling of 390871040 in words is "three hundred ninety million, eight hundred seventy-one thousand, forty".