Search a number
-
+
97316100 = 223352719271
BaseRepresentation
bin1011100110011…
…10110100000100
320210010011121000
411303032310010
5144403103400
613353453300
72261113260
oct563166404
9223104530
1097316100
114aa29032
1228711230
1317213cbb
14ccd30a0
158824600
hex5cced04

97316100 has 288 divisors, whose sum is σ = 377753600. Its totient is φ = 20995200.

The previous prime is 97316057. The next prime is 97316113. The reversal of 97316100 is 161379.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 358965 + ... + 359235.

Almost surely, 297316100 is an apocalyptic number.

97316100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188876800).

97316100 is an abundant number, since it is smaller than the sum of its proper divisors (280437500).

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

97316100 is a wasteful number, since it uses less digits than its factorization.

97316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 97316100 is about 9864.8922954080. The cubic root of 97316100 is about 459.9686494072.

Adding to 97316100 its reverse (161379), we get a palindrome (97477479).

The spelling of 97316100 in words is "ninety-seven million, three hundred sixteen thousand, one hundred".