[go: up one dir, main page]

Search a number
-
+
83208960 = 2832531233
BaseRepresentation
bin1001111010110…
…10101100000000
312210120110020100
410331122230000
5132300141320
612131242400
72030156502
oct475325400
9183513210
1083208960
1142a7313a
1223a49400
1314314b93
14b09dd72
157489790
hex4f5ab00

83208960 has 216 divisors, whose sum is σ = 298456704. Its totient is φ = 21381120.

The previous prime is 83208953. The next prime is 83208989. The reversal of 83208960 is 6980238.

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

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, 357004 + ... + 357236.

It is an arithmetic number, because the mean of its divisors is an integer number (1381744).

Almost surely, 283208960 is an apocalyptic number.

83208960 is a gapful number since it is divisible by the number (80) 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 83208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149228352).

83208960 is an abundant number, since it is smaller than the sum of its proper divisors (215247744).

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

83208960 is a wasteful number, since it uses less digits than its factorization.

83208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83208960 is about 9121.8945400613. The cubic root of 83208960 is about 436.5728239443.

The spelling of 83208960 in words is "eighty-three million, two hundred eight thousand, nine hundred sixty".