[go: up one dir, main page]

Search a number
-
+
68790240 = 25325233167
BaseRepresentation
bin1000001100110…
…10011111100000
311210102220110200
410012122133200
5120102241430
610454225200
71463464431
oct406323740
9153386420
1068790240
1135915142
121b055200
1311336cac
1491c9488
15608c460
hex419a7e0

68790240 has 288 divisors, whose sum is σ = 256628736. Its totient is φ = 16727040.

The previous prime is 68790223. The next prime is 68790257. The reversal of 68790240 is 4209786.

It is an interprime number because it is at equal distance from previous prime (68790223) and next prime (68790257).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 68790195 and 68790204.

It is a congruent number.

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, 1026687 + ... + 1026753.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 268790240 is an apocalyptic number.

68790240 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 68790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368).

68790240 is an abundant number, since it is smaller than the sum of its proper divisors (187838496).

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

68790240 is a wasteful number, since it uses less digits than its factorization.

68790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 68790240 is about 8293.9881842211. The cubic root of 68790240 is about 409.7405457429.

The spelling of 68790240 in words is "sixty-eight million, seven hundred ninety thousand, two hundred forty".