Search a number
-
+
81067968 = 2632172487
BaseRepresentation
bin1001101010011…
…11111111000000
312122112200100100
410311033333000
5131223133333
612013322400
72003031522
oct465177700
9178480310
1081067968
1141840623
1223196400
1313a45517
14aaa3a12
1571b5213
hex4d4ffc0

81067968 has 126 divisors (see below), whose sum is σ = 247346216. Its totient is φ = 25380864.

The previous prime is 81067967. The next prime is 81067993. The reversal of 81067968 is 86976018.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81067967) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 166221 + ... + 166707.

Almost surely, 281067968 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 81067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123673108).

81067968 is an abundant number, since it is smaller than the sum of its proper divisors (166278248).

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

81067968 is a wasteful number, since it uses less digits than its factorization.

81067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 81067968 is about 9003.7752082113. The cubic root of 81067968 is about 432.7958580220.

The spelling of 81067968 in words is "eighty-one million, sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 487 544 576 578 612 816 867 974 1088 1156 1224 1461 1632 1734 1948 2312 2448 2601 2922 3264 3468 3896 4383 4624 4896 5202 5844 6936 7792 8279 8766 9248 9792 10404 11688 13872 15584 16558 17532 18496 20808 23376 24837 27744 31168 33116 35064 41616 46752 49674 55488 66232 70128 74511 83232 93504 99348 132464 140256 140743 149022 166464 198696 264928 280512 281486 298044 397392 422229 529856 562972 596088 794784 844458 1125944 1192176 1266687 1589568 1688916 2251888 2384352 2533374 3377832 4503776 4768704 5066748 6755664 9007552 10133496 13511328 20266992 27022656 40533984 81067968