Search a number
-
+
97236072 = 23331922943
BaseRepresentation
bin1011100101110…
…11010001101000
320202222002211000
411302323101220
5144343023242
613352035000
72260331043
oct562732150
9222862730
1097236072
114a98399a
1228692a60
13171b674b
14ccb1c5a
15880aa4c
hex5cbb468

97236072 has 192 divisors, whose sum is σ = 301752000. Its totient is φ = 28957824.

The previous prime is 97236067. The next prime is 97236089. The reversal of 97236072 is 27063279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2261283 + ... + 2261325.

It is an arithmetic number, because the mean of its divisors is an integer number (1571625).

Almost surely, 297236072 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 97236072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150876000).

97236072 is an abundant number, since it is smaller than the sum of its proper divisors (204515928).

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

97236072 is a wasteful number, since it uses less digits than its factorization.

97236072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 97236072 is about 9860.8352587395. The cubic root of 97236072 is about 459.8425295906.

The spelling of 97236072 in words is "ninety-seven million, two hundred thirty-six thousand, seventy-two".