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148520 = 2354779
BaseRepresentation
bin100100010000101000
321112201202
4210100220
514223040
63103332
71156001
oct442050
9245652
10148520
11a1649
1271b48
13527a8
143c1a8
152e015
hex24428

148520 has 32 divisors (see below), whose sum is σ = 345600. Its totient is φ = 57408.

The previous prime is 148517. The next prime is 148531. The reversal of 148520 is 25841.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 148492 and 148501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2148520 is an apocalyptic number.

148520 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 148520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

148520 is an abundant number, since it is smaller than the sum of its proper divisors (197080).

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

148520 is a wasteful number, since it uses less digits than its factorization.

148520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 148520 is about 385.3829264511. The cubic root of 148520 is about 52.9576022621.

The spelling of 148520 in words is "one hundred forty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 79 94 158 188 235 316 376 395 470 632 790 940 1580 1880 3160 3713 7426 14852 18565 29704 37130 74260 148520