Search a number
-
+
97889920 = 275152953
BaseRepresentation
bin1011101010110…
…10111010000000
320211012022201121
411311122322000
5200024434140
613414042024
72266023232
oct565327200
9224168647
1097889920
1150290167
1228949314
131738523b
14d002252
1588d964a
hex5d5ae80

97889920 has 32 divisors (see below), whose sum is σ = 234019620. Its totient is φ = 39155712.

The previous prime is 97889903. The next prime is 97889923. The reversal of 97889920 is 2998879.

It can be written as a sum of positive squares in 2 ways, for example, as 91699776 + 6190144 = 9576^2 + 2488^2 .

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 (97889923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75837 + ... + 77116.

Almost surely, 297889920 is an apocalyptic number.

It is an amenable number.

97889920 is an abundant number, since it is smaller than the sum of its proper divisors (136129700).

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

97889920 is a wasteful number, since it uses less digits than its factorization.

97889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152972 (or 152960 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The square root of 97889920 is about 9893.9334948240. The cubic root of 97889920 is about 460.8709397599.

The spelling of 97889920 in words is "ninety-seven million, eight hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 152953 305906 611812 764765 1223624 1529530 2447248 3059060 4894496 6118120 9788992 12236240 19577984 24472480 48944960 97889920