Search a number
-
+
97059840 = 210357189
BaseRepresentation
bin1011100100100…
…00010000000000
320202122011001220
411302100100000
5144321403330
613344155040
72255665203
oct562202000
9222564056
1097059840
114a873549
1228608a80
1317154477
14cc6793a
1587c3710
hex5c90400

97059840 has 176 divisors, whose sum is σ = 318349440. Its totient is φ = 25231360.

The previous prime is 97059829. The next prime is 97059857. The reversal of 97059840 is 4895079.

It is a super-2 number, since 2×970598402 = 18841225081651200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97059792 and 97059801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090516 + ... + 1090604.

Almost surely, 297059840 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 97059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159174720).

97059840 is an abundant number, since it is smaller than the sum of its proper divisors (221289600).

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

97059840 is a wasteful number, since it uses less digits than its factorization.

97059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 97059840 is about 9851.8952491386. The cubic root of 97059840 is about 459.5645532694.

The spelling of 97059840 in words is "ninety-seven million, fifty-nine thousand, eight hundred forty".