Search a number
-
+
68726784 = 212371747
BaseRepresentation
bin1000001100010…
…11000000000000
311210022200102110
410012023000000
5120043224114
610453015320
71463111430
oct406130000
9153280373
1068726784
11358814a5
121b024540
1311314149
1491b02c0
156078759
hex418b000

68726784 has 208 divisors, whose sum is σ = 226464768. Its totient is φ = 18087936.

The previous prime is 68726773. The next prime is 68726821. The reversal of 68726784 is 48762786.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (903168) is a multiple of the sum of its prime factors (98).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462249 + ... + 1462295.

Almost surely, 268726784 is an apocalyptic number.

68726784 is a gapful number since it is divisible by the number (64) 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 68726784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113232384).

68726784 is an abundant number, since it is smaller than the sum of its proper divisors (157737984).

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

68726784 is a wasteful number, since it uses less digits than its factorization.

68726784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 68726784 is about 8290.1618802048. The cubic root of 68726784 is about 409.6145177146.

The spelling of 68726784 in words is "sixty-eight million, seven hundred twenty-six thousand, seven hundred eighty-four".