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160480 = 2551759
BaseRepresentation
bin100111001011100000
322011010201
4213023200
520113410
63234544
71235605
oct471340
9264121
10160480
11aa631
1278a54
1358078
14426ac
153283a
hex272e0

160480 has 48 divisors (see below), whose sum is σ = 408240. Its totient is φ = 59392.

The previous prime is 160453. The next prime is 160481. The reversal of 160480 is 84061.

160480 = 123 + 133 + ... + 283.

160480 is a modest number, since divided by 480 gives 160 as remainder.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160481) by changing a digit.

160480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2691 + ... + 2749.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2160480 is an apocalyptic number.

160480 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 160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120).

160480 is an abundant number, since it is smaller than the sum of its proper divisors (247760).

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

160480 is a wasteful number, since it uses less digits than its factorization.

160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 160480 is about 400.5995506737. The cubic root of 160480 is about 54.3425864862.

Subtracting from 160480 its sum of digits (19), we obtain a triangular number (160461 = T566).

The spelling of 160480 in words is "one hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 59 68 80 85 118 136 160 170 236 272 295 340 472 544 590 680 944 1003 1180 1360 1888 2006 2360 2720 4012 4720 5015 8024 9440 10030 16048 20060 32096 40120 80240 160480