Search a number
-
+
1067968 = 26113741
BaseRepresentation
bin100000100101111000000
32000020222101
410010233000
5233133333
634520144
712035416
oct4045700
92006871
101067968
1166a420
12436054
132b5145
141db2b6
1516167d
hex104bc0

1067968 has 56 divisors (see below), whose sum is σ = 2432304. Its totient is φ = 460800.

The previous prime is 1067951. The next prime is 1067987. The reversal of 1067968 is 8697601.

It is a super-2 number, since 2×10679682 = 2281111298048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26028 + ... + 26068.

It is an arithmetic number, because the mean of its divisors is an integer number (43434).

21067968 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 1067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216152).

1067968 is an abundant number, since it is smaller than the sum of its proper divisors (1364336).

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

1067968 is a wasteful number, since it uses less digits than its factorization.

1067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1067968 is about 1033.4253722451. The cubic root of 1067968 is about 102.2161251002.

The spelling of 1067968 in words is "one million, sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 41 44 64 74 82 88 148 164 176 296 328 352 407 451 592 656 704 814 902 1184 1312 1517 1628 1804 2368 2624 3034 3256 3608 6068 6512 7216 12136 13024 14432 16687 24272 26048 28864 33374 48544 66748 97088 133496 266992 533984 1067968