Search a number
-
+
68730480 = 243257131049
BaseRepresentation
bin1000001100010…
…11111001110000
311210022212111100
410012023321300
5120043333410
610453044400
71463125260
oct406137160
9153285440
1068730480
1135884255
121b026700
1311315a30
1491b17a0
1560798c0
hex418be70

68730480 has 240 divisors, whose sum is σ = 284356800. Its totient is φ = 14487552.

The previous prime is 68730461. The next prime is 68730481. The reversal of 68730480 is 8403786.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68730481) 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, 64996 + ... + 66044.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 268730480 is an apocalyptic number.

68730480 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 68730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

68730480 is an abundant number, since it is smaller than the sum of its proper divisors (215626320).

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

68730480 is a wasteful number, since it uses less digits than its factorization.

68730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68730480 is about 8290.3847920347. The cubic root of 68730480 is about 409.6218603547.

The spelling of 68730480 in words is "sixty-eight million, seven hundred thirty thousand, four hundred eighty".