Search a number
-
+
148000680 = 23325411113
BaseRepresentation
bin10001101001001…
…00111110101000
3101022111012202200
420310210332220
5300342010210
622404100200
73444661602
oct1064447650
9338435680
10148000680
11765a7113
1241694660
132487bb89
1415928172
15ced70c0
hex8d24fa8

148000680 has 48 divisors (see below), whose sum is σ = 481003380. Its totient is φ = 39466752.

The previous prime is 148000663. The next prime is 148000729. The reversal of 148000680 is 86000841.

148000680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 147914244 + 86436 = 12162^2 + 294^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 205197 + ... + 205916.

Almost surely, 2148000680 is an apocalyptic number.

148000680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148000680 is an abundant number, since it is smaller than the sum of its proper divisors (333002700).

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

148000680 is a wasteful number, since it uses less digits than its factorization.

148000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411130 (or 411123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148000680 is about 12165.5530083922. The cubic root of 148000680 is about 528.9580573829.

The spelling of 148000680 in words is "one hundred forty-eight million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 411113 822226 1233339 1644452 2055565 2466678 3288904 3700017 4111130 4933356 6166695 7400034 8222260 9866712 12333390 14800068 16444520 18500085 24666780 29600136 37000170 49333560 74000340 148000680