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295020 = 2232511149
BaseRepresentation
bin1001000000001101100
3112222200200
41020001230
533420040
610153500
72336055
oct1100154
9488620
10295020
11191720
12122890
13a438b
147972c
155c630
hex4806c

295020 has 72 divisors (see below), whose sum is σ = 982800. Its totient is φ = 71040.

The previous prime is 295007. The next prime is 295033. The reversal of 295020 is 20592.

295020 = T11 + T12 + ... + T120.

It is an interprime number because it is at equal distance from previous prime (295007) and next prime (295033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 294984 and 295002.

It is an unprimeable number.

295020 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, 1906 + ... + 2054.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2295020 is an apocalyptic number.

295020 is a gapful number since it is divisible by the number (20) 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 295020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

295020 is an abundant number, since it is smaller than the sum of its proper divisors (687780).

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

295020 is a wasteful number, since it uses less digits than its factorization.

295020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 295020 is about 543.1574357403. The cubic root of 295020 is about 66.5708066734.

The spelling of 295020 in words is "two hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 149 165 180 198 220 298 330 396 447 495 596 660 745 894 990 1341 1490 1639 1788 1980 2235 2682 2980 3278 4470 4917 5364 6556 6705 8195 8940 9834 13410 14751 16390 19668 24585 26820 29502 32780 49170 59004 73755 98340 147510 295020