Search a number
-
+
169000000 = 2656132
BaseRepresentation
bin10100001001010…
…11110001000000
3102210000002102021
422010223301000
5321231000000
624434131224
74121322241
oct1204536100
9383002367
10169000000
118743a224
1248720b14
1329022100
1418632cc8
15ec8411a
hexa12bc40

169000000 has 147 divisors (see below), whose sum is σ = 453919971. Its totient is φ = 62400000.

The previous prime is 168999997. The next prime is 169000033. The reversal of 169000000 is 961.

The square root of 169000000 is 13000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 79281216 + 89718784 = 8904^2 + 9472^2 .

It is a super-2 number, since 2×1690000002 = 57122000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12999994 + ... + 13000006.

Almost surely, 2169000000 is an apocalyptic number.

169000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

169000000 is the 13000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169000000

169000000 is an abundant number, since it is smaller than the sum of its proper divisors (284919971).

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

169000000 is an frugal number, since it uses more digits than its factorization.

169000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 169000000 is about 552.8774813679.

Multiplying 169000000 by its sum of digits (16), we get a square (2704000000 = 520002).

169000000 divided by its sum of digits (16) gives a square (10562500 = 32502).

Adding to 169000000 its reverse (961), we get a palindrome (169000961).

Multiplying 169000000 by its reverse (961), we get a square (162409000000 = 4030002).

It can be divided in two parts, 16 and 9000000, that multiplied together give a square (144000000 = 120002).

The spelling of 169000000 in words is "one hundred sixty-nine million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 169 200 208 250 260 320 325 338 400 416 500 520 625 650 676 800 832 845 1000 1040 1250 1300 1352 1600 1625 1690 2000 2080 2500 2600 2704 3125 3250 3380 4000 4160 4225 5000 5200 5408 6250 6500 6760 8000 8125 8450 10000 10400 10816 12500 13000 13520 15625 16250 16900 20000 20800 21125 25000 26000 27040 31250 32500 33800 40000 40625 42250 50000 52000 54080 62500 65000 67600 81250 84500 100000 104000 105625 125000 130000 135200 162500 169000 200000 203125 211250 250000 260000 270400 325000 338000 406250 422500 500000 520000 528125 650000 676000 812500 845000 1000000 1056250 1300000 1352000 1625000 1690000 2112500 2600000 2640625 3250000 3380000 4225000 5281250 6500000 6760000 8450000 10562500 13000000 16900000 21125000 33800000 42250000 84500000 169000000