Search a number
-
+
170072124 = 22329539221
BaseRepresentation
bin10100010001100…
…01100000111100
3102212000120002120
422020301200330
5322014301444
624513122540
74133406045
oct1210614074
9385016076
10170072124
1188001782
1248b59450
13293090c1
14188318cc
15ede6b19
hexa23183c

170072124 has 48 divisors (see below), whose sum is σ = 418309920. Its totient is φ = 53697280.

The previous prime is 170072083. The next prime is 170072171. The reversal of 170072124 is 421270071.

It is a junction number, because it is equal to n+sod(n) for n = 170072094 and 170072103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13834 + ... + 23054.

It is an arithmetic number, because the mean of its divisors is an integer number (8714790).

Almost surely, 2170072124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170072124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209154960).

170072124 is an abundant number, since it is smaller than the sum of its proper divisors (248237796).

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

170072124 is a wasteful number, since it uses less digits than its factorization.

170072124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 170072124 is about 13041.1703462534. The cubic root of 170072124 is about 554.0441562288.

The spelling of 170072124 in words is "one hundred seventy million, seventy-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 9221 9222 18442 18444 27663 36884 55326 110652 267409 488713 534818 802227 977426 1069636 1466139 1604454 1954852 2932278 3208908 5864556 14172677 28345354 42518031 56690708 85036062 170072124