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97680 = 24351137
BaseRepresentation
bin10111110110010000
311221222210
4113312100
511111210
62032120
7554532
oct276620
9157883
1097680
1167430
1248640
13355cb
1427852
151de20
hex17d90

97680 has 80 divisors (see below), whose sum is σ = 339264. Its totient is φ = 23040.

The previous prime is 97673. The next prime is 97687. The reversal of 97680 is 8679.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97673) and next prime (97687).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (97687) by changing a digit.

97680 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 15 ways as a sum of consecutive naturals, for example, 2622 + ... + 2658.

297680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632).

97680 is an abundant number, since it is smaller than the sum of its proper divisors (241584).

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

97680 is a wasteful number, since it uses less digits than its factorization.

97680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 97680 is about 312.5379976899. The cubic root of 97680 is about 46.0541265823.

It can be divided in two parts, 97 and 680, that added together give a palindrome (777).

The spelling of 97680 in words is "ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 48840 97680