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148960000 = 28547219
BaseRepresentation
bin10001110000011…
…11001100000000
3101101021221201001
420320033030000
5301113210000
622440421344
73456065500
oct1070171400
9341257631
10148960000
11770a1942
1241a77854
1324b26717
1415ad7a00
15d12646a
hex8e0f300

148960000 has 270 divisors, whose sum is σ = 454963740. Its totient is φ = 48384000.

The previous prime is 148959997. The next prime is 148960003. The reversal of 148960000 is 69841.

It is an interprime number because it is at equal distance from previous prime (148959997) and next prime (148960003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (148960003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7839991 + ... + 7840009.

Almost surely, 2148960000 is an apocalyptic number.

148960000 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 148960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227481870).

148960000 is an abundant number, since it is smaller than the sum of its proper divisors (306003740).

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

148960000 is an frugal number, since it uses more digits than its factorization.

148960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

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

The square root of 148960000 is about 12204.9170419139. The cubic root of 148960000 is about 530.0984746415.

It can be divided in two parts, 14 and 8960000, that multiplied together give a square (125440000 = 112002).

The spelling of 148960000 in words is "one hundred forty-eight million, nine hundred sixty thousand".