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148608320 = 265766343
BaseRepresentation
bin10001101101110…
…01010101000000
3101100122002021212
420312321111000
5301020431240
622425105252
73453102260
oct1066712500
9340562255
10148608320
11769816a3
1241928228
1324a32623
1415a457a0
15d0a7165
hex8db9540

148608320 has 56 divisors (see below), whose sum is σ = 404433024. Its totient is φ = 50950656.

The previous prime is 148608319. The next prime is 148608323. The reversal of 148608320 is 23806841.

148608320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148608323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30932 + ... + 35411.

Almost surely, 2148608320 is an apocalyptic number.

148608320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148608320 is an abundant number, since it is smaller than the sum of its proper divisors (255824704).

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

148608320 is an equidigital number, since it uses as much as digits as its factorization.

148608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66367 (or 66357 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 148608320 is about 12190.5012202124. The cubic root of 148608320 is about 529.6809756827.

The spelling of 148608320 in words is "one hundred forty-eight million, six hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 66343 132686 265372 331715 464401 530744 663430 928802 1061488 1326860 1857604 2122976 2322005 2653720 3715208 4245952 4644010 5307440 7430416 9288020 10614880 14860832 18576040 21229760 29721664 37152080 74304160 148608320