Search a number
-
+
380748060 = 223357119157
BaseRepresentation
bin10110101100011…
…100000100011100
3222112110000011000
4112230130010130
51234432414220
6101440430300
712302206440
oct2654340434
9875400130
10380748060
11185a16720
12a7618390
1360b60814
14387d2820
152365e390
hex16b1c11c

380748060 has 192 divisors, whose sum is σ = 1477002240. Its totient is φ = 79107840.

The previous prime is 380748059. The next prime is 380748061. The reversal of 380748060 is 60847083.

It is an interprime number because it is at equal distance from previous prime (380748059) and next prime (380748061).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380748061) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37002 + ... + 46158.

It is an arithmetic number, because the mean of its divisors is an integer number (7692720).

Almost surely, 2380748060 is an apocalyptic number.

380748060 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 380748060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738501120).

380748060 is an abundant number, since it is smaller than the sum of its proper divisors (1096254180).

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

380748060 is a wasteful number, since it uses less digits than its factorization.

380748060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 380748060 is about 19512.7665901071. The cubic root of 380748060 is about 724.7906236452.

The spelling of 380748060 in words is "three hundred eighty million, seven hundred forty-eight thousand, sixty".