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163680 = 25351131
BaseRepresentation
bin100111111101100000
322022112020
4213331200
520214210
63301440
71251126
oct477540
9268466
10163680
11101a80
127a880
135966a
1443916
1533770
hex27f60

163680 has 96 divisors (see below), whose sum is σ = 580608. Its totient is φ = 38400.

The previous prime is 163679. The next prime is 163697. The reversal of 163680 is 86361.

163680 = T48 + T49 + ... + T102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1636802 = 53582284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 163680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5265 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

163680 is a Friedman number, since it can be written as 310*66*8, using all its digits and the basic arithmetic operations.

2163680 is an apocalyptic number.

163680 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 163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

163680 is an abundant number, since it is smaller than the sum of its proper divisors (416928).

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

163680 is a wasteful number, since it uses less digits than its factorization.

163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 163680 is about 404.5738498717. The cubic root of 163680 is about 54.7014122428.

The spelling of 163680 in words is "one hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 44 48 55 60 62 66 80 88 93 96 110 120 124 132 155 160 165 176 186 220 240 248 264 310 330 341 352 372 440 465 480 496 528 620 660 682 744 880 930 992 1023 1056 1240 1320 1364 1488 1705 1760 1860 2046 2480 2640 2728 2976 3410 3720 4092 4960 5115 5280 5456 6820 7440 8184 10230 10912 13640 14880 16368 20460 27280 32736 40920 54560 81840 163680