Search a number
-
+
396088980 = 2235723131313
BaseRepresentation
bin10111100110111…
…101011010010100
31000121022101221020
4113212331122110
51302344321410
6103145321140
712546462240
oct2746753224
91017271836
10396088980
11193644571
12b07961b0
13640a23a1
143a867420
1524b8ea70
hex179bd694

396088980 has 192 divisors, whose sum is σ = 1336946688. Its totient is φ = 85662720.

The previous prime is 396088969. The next prime is 396089027. The reversal of 396088980 is 89880693.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1265304 + ... + 1265616.

It is an arithmetic number, because the mean of its divisors is an integer number (6963264).

Almost surely, 2396088980 is an apocalyptic number.

396088980 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 396088980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668473344).

396088980 is an abundant number, since it is smaller than the sum of its proper divisors (940857708).

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

396088980 is a wasteful number, since it uses less digits than its factorization.

396088980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 396088980 is about 19901.9843231774. The cubic root of 396088980 is about 734.3970435635.

The spelling of 396088980 in words is "three hundred ninety-six million, eighty-eight thousand, nine hundred eighty".