Search a number
-
+
97120 = 255607
BaseRepresentation
bin10111101101100000
311221020001
4113231200
511101440
62025344
7553102
oct275540
9157201
1097120
1166a71
1248254
133528a
1427572
151db9a
hex17b60

97120 has 24 divisors (see below), whose sum is σ = 229824. Its totient is φ = 38784.

The previous prime is 97117. The next prime is 97127. The reversal of 97120 is 2179.

97120 = T65 + T66 + ... + T94.

97120 is nontrivially palindromic in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

297120 is an apocalyptic number.

It is an amenable number.

97120 is an abundant number, since it is smaller than the sum of its proper divisors (132704).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

97120 is a wasteful number, since it uses less digits than its factorization.

97120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 97120 is about 311.6408188925. The cubic root of 97120 is about 45.9659483343.

Adding to 97120 its reverse (2179), we get a palindrome (99299).

The spelling of 97120 in words is "ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 607 1214 2428 3035 4856 6070 9712 12140 19424 24280 48560 97120