Search a number
-
+
97006720 = 275151573
BaseRepresentation
bin1011100100000…
…11010010000000
320202112110012111
411302003102000
5144313203340
613343105104
72255354266
oct562032200
9222473174
1097006720
114a837648
12285a2194
1317136235
14cc52436
1587b2aea
hex5c83480

97006720 has 32 divisors (see below), whose sum is σ = 231908220. Its totient is φ = 38802432.

The previous prime is 97006717. The next prime is 97006727. The reversal of 97006720 is 2760079.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96353856 + 652864 = 9816^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (97006727) 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, 75147 + ... + 76426.

Almost surely, 297006720 is an apocalyptic number.

It is an amenable number.

97006720 is an abundant number, since it is smaller than the sum of its proper divisors (134901500).

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

97006720 is a wasteful number, since it uses less digits than its factorization.

97006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151592 (or 151580 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 97006720 is about 9849.1989521991. The cubic root of 97006720 is about 459.4806994190.

Adding to 97006720 its reverse (2760079), we get a palindrome (99766799).

The spelling of 97006720 in words is "ninety-seven million, six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 151573 303146 606292 757865 1212584 1515730 2425168 3031460 4850336 6062920 9700672 12125840 19401344 24251680 48503360 97006720