Search a number
-
+
68668288 = 2713291423
BaseRepresentation
bin1000001011111…
…00101110000000
311210012201011221
410011330232000
5120034341123
610451444424
71462446043
oct405745600
9153181157
1068668288
1135841557
121abb6714
13112c3630
149196c5a
15606625d
hex417cb80

68668288 has 64 divisors (see below), whose sum is σ = 152510400. Its totient is φ = 30578688.

The previous prime is 68668283. The next prime is 68668297. The reversal of 68668288 is 88286686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68668283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47545 + ... + 48967.

It is an arithmetic number, because the mean of its divisors is an integer number (2382975).

Almost surely, 268668288 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 68668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76255200).

68668288 is an abundant number, since it is smaller than the sum of its proper divisors (83842112).

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

68668288 is a wasteful number, since it uses less digits than its factorization.

68668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1467 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 52.

The square root of 68668288 is about 8286.6330919137. The cubic root of 68668288 is about 409.4982718561.

The spelling of 68668288 in words is "sixty-eight million, six hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 464 754 832 928 1423 1508 1664 1856 2846 3016 3712 5692 6032 11384 12064 18499 22768 24128 36998 41267 45536 48256 73996 82534 91072 147992 165068 182144 295984 330136 536471 591968 660272 1072942 1183936 1320544 2145884 2367872 2641088 4291768 5282176 8583536 17167072 34334144 68668288