Search a number
-
+
68637680 = 2458310337
BaseRepresentation
bin1000001011101…
…01001111110000
311210011011012022
410011311033300
5120032401210
610451051012
71462260566
oct405651760
9153134168
1068637680
1135820561
121aba0a68
13112b2717
149189a36
15605c155
hex41753f0

68637680 has 40 divisors (see below), whose sum is σ = 161520912. Its totient is φ = 27121664.

The previous prime is 68637677. The next prime is 68637683. The reversal of 68637680 is 8673686.

It is an interprime number because it is at equal distance from previous prime (68637677) and next prime (68637683).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×686376802 = 9422262231564800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68637683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1472 + ... + 11808.

Almost surely, 268637680 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 68637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80760456).

68637680 is an abundant number, since it is smaller than the sum of its proper divisors (92883232).

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

68637680 is a wasteful number, since it uses less digits than its factorization.

68637680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 68637680 is about 8284.7860563807. The cubic root of 68637680 is about 409.4374199635.

The spelling of 68637680 in words is "sixty-eight million, six hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 10337 20674 41348 51685 82696 103370 165392 206740 413480 826960 857971 1715942 3431884 4289855 6863768 8579710 13727536 17159420 34318840 68637680