Search a number
-
+
170426880 = 2932513569
BaseRepresentation
bin10100010100010…
…00001000000000
3102212200120201200
422022020020000
5322112130010
624524501200
74136414241
oct1212101000
9385616650
10170426880
1188224268
12490aa800
1329401710
14188c4cc8
15ee66cc0
hexa288200

170426880 has 240 divisors, whose sum is σ = 636756120. Its totient is φ = 41877504.

The previous prime is 170426857. The next prime is 170426897. The reversal of 170426880 is 88624071.

It can be written as a sum of positive squares in 4 ways, for example, as 75481344 + 94945536 = 8688^2 + 9744^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299236 + ... + 299804.

Almost surely, 2170426880 is an apocalyptic number.

170426880 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 170426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318378060).

170426880 is an abundant number, since it is smaller than the sum of its proper divisors (466329240).

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

170426880 is a wasteful number, since it uses less digits than its factorization.

170426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 170426880 is about 13054.7646474381. The cubic root of 170426880 is about 554.4291183647.

The spelling of 170426880 in words is "one hundred seventy million, four hundred twenty-six thousand, eight hundred eighty".