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147620 = 22511261
BaseRepresentation
bin100100000010100100
321111111102
4210002210
514210440
63055232
71153244
oct440244
9244442
10147620
11a0a00
1271518
1352265
143bb24
152db15
hex240a4

147620 has 36 divisors (see below), whose sum is σ = 346332. Its totient is φ = 52800.

The previous prime is 147617. The next prime is 147629. The reversal of 147620 is 26741.

147620 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 123904 = 154^2 + 352^2 .

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

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 = 147592 and 147601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147620.

It is not an unprimeable number, because it can be changed into a prime (147629) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2390 + ... + 2450.

2147620 is an apocalyptic number.

147620 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 147620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173166).

147620 is an abundant number, since it is smaller than the sum of its proper divisors (198712).

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

147620 is a wasteful number, since it uses less digits than its factorization.

147620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 147620 is about 384.2134823246. The cubic root of 147620 is about 52.8504148103.

147620 divided by its sum of digits (20) gives a triangular number (7381 = T121).

It can be divided in two parts, 147 and 620, that added together give a palindrome (767).

The spelling of 147620 in words is "one hundred forty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 1210 1220 1342 2420 2684 3355 6710 7381 13420 14762 29524 36905 73810 147620