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148096 = 271389
BaseRepresentation
bin100100001010000000
321112011001
4210022000
514214341
63101344
71154524
oct441200
9245131
10148096
11a12a3
1271854
1352540
143bd84
152dd31
hex24280

148096 has 32 divisors (see below), whose sum is σ = 321300. Its totient is φ = 67584.

The previous prime is 148091. The next prime is 148123. The reversal of 148096 is 690841.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 18496 = 360^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1480963 = 9744313334366208, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (148091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1620 + ... + 1708.

2148096 is an apocalyptic number.

148096 is a gapful number since it is divisible by the number (16) 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 148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160650).

148096 is an abundant number, since it is smaller than the sum of its proper divisors (173204).

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

148096 is an equidigital number, since it uses as much as digits as its factorization.

148096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

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

The square root of 148096 is about 384.8324310658. The cubic root of 148096 is about 52.9071591684.

The spelling of 148096 in words is "one hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 356 416 712 832 1157 1424 1664 2314 2848 4628 5696 9256 11392 18512 37024 74048 148096