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148720 = 24511132
BaseRepresentation
bin100100010011110000
321120000011
4210103300
514224340
63104304
71156405
oct442360
9246004
10148720
11a1810
1272094
1352900
143c2ac
152e0ea
hex244f0

148720 has 60 divisors (see below), whose sum is σ = 408456. Its totient is φ = 49920.

The previous prime is 148711. The next prime is 148721. The reversal of 148720 is 27841.

148720 = 122 + 132 + ... + 762.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 148691 and 148700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11434 + ... + 11446.

2148720 is an apocalyptic number.

148720 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 148720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204228).

148720 is an abundant number, since it is smaller than the sum of its proper divisors (259736).

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

148720 is a wasteful number, since it uses less digits than its factorization.

148720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 148720 is about 385.6423213290. The cubic root of 148720 is about 52.9813628550.

It can be divided in two parts, 148 and 720, that added together give a palindrome (868).

The spelling of 148720 in words is "one hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 169 176 208 220 260 286 338 440 520 572 676 715 845 880 1040 1144 1352 1430 1690 1859 2288 2704 2860 3380 3718 5720 6760 7436 9295 11440 13520 14872 18590 29744 37180 74360 148720