Search a number
-
+
1068408 = 2332111971
BaseRepresentation
bin100000100110101111000
32000021120200
410010311320
5233142113
634522200
712036615
oct4046570
92007520
101068408
1166a790
12436360
132b53c3
141db50c
15161873
hex104d78

1068408 has 96 divisors (see below), whose sum is σ = 3369600. Its totient is φ = 302400.

The previous prime is 1068407. The next prime is 1068409. The reversal of 1068408 is 8048601.

It is an interprime number because it is at equal distance from previous prime (1068407) and next prime (1068409).

It is a super-2 number, since 2×10684082 = 2282991308928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15013 + ... + 15083.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

21068408 is an apocalyptic number.

1068408 is a gapful number since it is divisible by the number (18) 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 1068408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684800).

1068408 is an abundant number, since it is smaller than the sum of its proper divisors (2301192).

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

1068408 is a wasteful number, since it uses less digits than its factorization.

1068408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1068408 is about 1033.6382345869. The cubic root of 1068408 is about 102.2301607641.

The spelling of 1068408 in words is "one million, sixty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 71 72 76 88 99 114 132 142 152 171 198 209 213 228 264 284 342 396 418 426 456 568 627 639 684 781 792 836 852 1254 1278 1349 1368 1562 1672 1704 1881 2343 2508 2556 2698 3124 3762 4047 4686 5016 5112 5396 6248 7029 7524 8094 9372 10792 12141 14058 14839 15048 16188 18744 24282 28116 29678 32376 44517 48564 56232 59356 89034 97128 118712 133551 178068 267102 356136 534204 1068408