Search a number
-
+
173840256 = 2731023
BaseRepresentation
bin10100101110010…
…01011110000000
3110010010000000000
422113021132000
5324000342011
625130000000
74210421622
oct1227113600
9403100000
10173840256
118a145837
124a276000
132a028275
1419132c12
15103dd356
hexa5c9780

173840256 has 176 divisors, whose sum is σ = 542066760. Its totient is φ = 55427328.

The previous prime is 173840221. The next prime is 173840269. The reversal of 173840256 is 652048371.

It is a super-2 number, since 2×1738402562 = 60440869212291072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 173840256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 7558261 + ... + 7558283.

Almost surely, 2173840256 is an apocalyptic number.

173840256 is a gapful number since it is divisible by the number (16) 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 173840256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271033380).

173840256 is an abundant number, since it is smaller than the sum of its proper divisors (368226504).

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

173840256 is an frugal number, since it uses more digits than its factorization.

173840256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 173840256 is about 13184.8494871955. The cubic root of 173840256 is about 558.1061192553.

The spelling of 173840256 in words is "one hundred seventy-three million, eight hundred forty thousand, two hundred fifty-six".