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148680000 = 263254759
BaseRepresentation
bin10001101110010…
…10110101000000
3101100202201121200
420313022311000
5301030230000
622430421200
73453521250
oct1067126500
9340681550
10148680000
1176a20537
1241961800
1324a59141
1415a63960
15d0bd500
hex8dcad40

148680000 has 420 divisors, whose sum is σ = 618926880. Its totient is φ = 33408000.

The previous prime is 148679989. The next prime is 148680017. The reversal of 148680000 is 86841.

It is a tau number, because it is divible by the number of its divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519971 + ... + 2520029.

Almost surely, 2148680000 is an apocalyptic number.

148680000 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 148680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309463440).

148680000 is an abundant number, since it is smaller than the sum of its proper divisors (470246880).

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

148680000 is an equidigital number, since it uses as much as digits as its factorization.

148680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

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

The square root of 148680000 is about 12193.4408597409. The cubic root of 148680000 is about 529.7661244136.

The spelling of 148680000 in words is "one hundred forty-eight million, six hundred eighty thousand".