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148680 = 23325759
BaseRepresentation
bin100100010011001000
321112221200
4210103020
514224210
63104200
71156320
oct442310
9245850
10148680
11a1784
1272060
135289c
143c280
152e0c0
hex244c8

148680 has 96 divisors (see below), whose sum is σ = 561600. Its totient is φ = 33408.

The previous prime is 148669. The next prime is 148691. The reversal of 148680 is 86841.

It is an interprime number because it is at equal distance from previous prime (148669) and next prime (148691).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148680.

It is an unprimeable number.

148680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2148680 is an apocalyptic number.

148680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148680 is the 315-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

148680 is an abundant number, since it is smaller than the sum of its proper divisors (412920).

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

148680 is a wasteful number, since it uses less digits than its factorization.

148680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

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

The square root of 148680 is about 385.5904563134. The cubic root of 148680 is about 52.9766124414.

It can be divided in two parts, 148 and 680, that added together give a palindrome (828).

The spelling of 148680 in words is "one hundred forty-eight thousand, six hundred eighty".