Search a number
-
+
67449240 = 23335192173
BaseRepresentation
bin1000000010100…
…11000110011000
311200220202222000
410001103012120
5114231333430
610405401000
71446211005
oct401230630
9150822860
1067449240
1135089681
121a709160
1310c877c1
148d5a8ac
155dc4e60
hex4053198

67449240 has 192 divisors, whose sum is σ = 238658400. Its totient is φ = 16941312.

The previous prime is 67449227. The next prime is 67449247. The reversal of 67449240 is 4294476.

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

It is a junction number, because it is equal to n+sod(n) for n = 67449195 and 67449204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67449247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389794 + ... + 389966.

Almost surely, 267449240 is an apocalyptic number.

67449240 is a gapful number since it is divisible by the number (60) 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 67449240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119329200).

67449240 is an abundant number, since it is smaller than the sum of its proper divisors (171209160).

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

67449240 is a wasteful number, since it uses less digits than its factorization.

67449240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 67449240 is about 8212.7486263735. The cubic root of 67449240 is about 407.0605547926.

The spelling of 67449240 in words is "sixty-seven million, four hundred forty-nine thousand, two hundred forty".