Search a number
-
+
173296480 = 2557359431
BaseRepresentation
bin10100101010001…
…00101101100000
3110002002101002011
422111010231200
5323330441410
625110202304
74202665360
oct1225045540
9402071064
10173296480
1189904235
124a053394
1329b978c6
14190309a0
151033218a
hexa544b60

173296480 has 96 divisors (see below), whose sum is σ = 470292480. Its totient is φ = 59112960.

The previous prime is 173296471. The next prime is 173296481. The reversal of 173296480 is 84692371.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173296481) by changing a digit.

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, 401865 + ... + 402295.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2173296480 is an apocalyptic number.

173296480 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 173296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240).

173296480 is an abundant number, since it is smaller than the sum of its proper divisors (296996000).

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

173296480 is a wasteful number, since it uses less digits than its factorization.

173296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 173296480 is about 13164.2120918800. The cubic root of 173296480 is about 557.5235888589.

The spelling of 173296480 in words is "one hundred seventy-three million, two hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 359 431 560 718 862 1120 1436 1724 1795 2155 2513 2872 3017 3448 3590 4310 5026 5744 6034 6896 7180 8620 10052 11488 12068 12565 13792 14360 15085 17240 20104 24136 25130 28720 30170 34480 40208 48272 50260 57440 60340 68960 80416 96544 100520 120680 154729 201040 241360 309458 402080 482720 618916 773645 1083103 1237832 1547290 2166206 2475664 3094580 4332412 4951328 5415515 6189160 8664824 10831030 12378320 17329648 21662060 24756640 34659296 43324120 86648240 173296480