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161460 = 223351323
BaseRepresentation
bin100111011010110100
322012111000
4213122310
520131320
63243300
71241505
oct473264
9265430
10161460
11100342
1279530
1358650
1442bac
1532c90
hex276b4

161460 has 96 divisors (see below), whose sum is σ = 564480. Its totient is φ = 38016.

The previous prime is 161459. The next prime is 161461. The reversal of 161460 is 64161.

It is an interprime number because it is at equal distance from previous prime (161459) and next prime (161461).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7009 + ... + 7031.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2161460 is an apocalyptic number.

161460 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 161460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

161460 is an abundant number, since it is smaller than the sum of its proper divisors (403020).

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

161460 is a wasteful number, since it uses less digits than its factorization.

161460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 161460 is about 401.8208556061. The cubic root of 161460 is about 54.4529796729.

Adding to 161460 its product of nonzero digits (144), we get a square (161604 = 4022).

The spelling of 161460 in words is "one hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 27 30 36 39 45 46 52 54 60 65 69 78 90 92 108 115 117 130 135 138 156 180 195 207 230 234 260 270 276 299 345 351 390 414 460 468 540 585 598 621 690 702 780 828 897 1035 1170 1196 1242 1380 1404 1495 1755 1794 2070 2340 2484 2691 2990 3105 3510 3588 4140 4485 5382 5980 6210 7020 8073 8970 10764 12420 13455 16146 17940 26910 32292 40365 53820 80730 161460