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148312900 = 22521738573
BaseRepresentation
bin10001101011100…
…01001101000100
3101100002002001101
420311301031010
5300432003100
622414505444
73450432061
oct1065611504
9340062041
10148312900
117679a74a
1241805284
132495b018
14159a9c68
15d04986a
hex8d71344

148312900 has 36 divisors (see below), whose sum is σ = 323737092. Its totient is φ = 58975360.

The previous prime is 148312889. The next prime is 148312907. The reversal of 148312900 is 9213841.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 148303684 = 96^2 + 12178^2 .

It is not an unprimeable number, because it can be changed into a prime (148312907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13014 + ... + 21586.

It is an arithmetic number, because the mean of its divisors is an integer number (8992697).

Almost surely, 2148312900 is an apocalyptic number.

148312900 is a gapful number since it is divisible by the number (10) 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 148312900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161868546).

148312900 is an abundant number, since it is smaller than the sum of its proper divisors (175424192).

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

148312900 is a wasteful number, since it uses less digits than its factorization.

148312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 148312900 is about 12178.3783813774. The cubic root of 148312900 is about 529.3297567720.

The spelling of 148312900 in words is "one hundred forty-eight million, three hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8573 8650 17146 17300 34292 42865 85730 171460 214325 428650 857300 1483129 2966258 5932516 7415645 14831290 29662580 37078225 74156450 148312900