Search a number
-
+
172842280 = 23513615449
BaseRepresentation
bin10100100110101…
…01110100101000
3110001020022000221
422103111310220
5323221423110
625052335424
74166064232
oct1223256450
9401208027
10172842280
1189623a66
1249a74574
1329a68c50
1418d53252
15102927da
hexa4d5d28

172842280 has 64 divisors (see below), whose sum is σ = 425754000. Its totient is φ = 62760960.

The previous prime is 172842251. The next prime is 172842289. The reversal of 172842280 is 82248271.

It can be written as a sum of positive squares in 8 ways, for example, as 24964 + 172817316 = 158^2 + 13146^2 .

It is not an unprimeable number, because it can be changed into a prime (172842289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28996 + ... + 34444.

Almost surely, 2172842280 is an apocalyptic number.

172842280 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 172842280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212877000).

172842280 is an abundant number, since it is smaller than the sum of its proper divisors (252911720).

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

172842280 is a wasteful number, since it uses less digits than its factorization.

172842280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 172842280 is about 13146.9494560525. The cubic root of 172842280 is about 557.0360837309.

The spelling of 172842280 in words is "one hundred seventy-two million, eight hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3965 5449 6344 7930 10898 15860 21796 27245 31720 43592 54490 70837 108980 141674 217960 283348 332389 354185 566696 664778 708370 1329556 1416740 1661945 2659112 2833480 3323890 4321057 6647780 8642114 13295560 17284228 21605285 34568456 43210570 86421140 172842280