Search a number
-
+
73240200 = 23355211137
BaseRepresentation
bin1000101110110…
…00111010001000
312002210222200000
410113120322020
5122222141300
611133443000
71546350165
oct427307210
9162728600
1073240200
11383844a0
1220640460
13122345c7
149a2706c
15666ac00
hex45d8e88

73240200 has 288 divisors, whose sum is σ = 280294560. Its totient is φ = 17625600.

The previous prime is 73240187. The next prime is 73240201. The reversal of 73240200 is 204237.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (73240201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534532 + ... + 534668.

It is an arithmetic number, because the mean of its divisors is an integer number (973245).

Almost surely, 273240200 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 73240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147280).

73240200 is an abundant number, since it is smaller than the sum of its proper divisors (207054360).

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

73240200 is a wasteful number, since it uses less digits than its factorization.

73240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 73240200 is about 8558.0488430483. The cubic root of 73240200 is about 418.3918092395.

Adding to 73240200 its reverse (204237), we get a palindrome (73444437).

The spelling of 73240200 in words is "seventy-three million, two hundred forty thousand, two hundred".