Search a number
-
+
81313176 = 23371771401
BaseRepresentation
bin1001101100010…
…11110110011000
312200000010201010
410312023312120
5131304010201
612022453520
72005102440
oct466136630
9180003633
1081313176
114199887a
12232942a0
1313b00009
14ab29120
157212bd6
hex4d8bd98

81313176 has 128 divisors (see below), whose sum is σ = 250076160. Its totient is φ = 21504000.

The previous prime is 81313163. The next prime is 81313201. The reversal of 81313176 is 67131318.

It is a super-2 number, since 2×813131762 = 13223665182413952, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202576 + ... + 202976.

It is an arithmetic number, because the mean of its divisors is an integer number (1953720).

Almost surely, 281313176 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 81313176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125038080).

81313176 is an abundant number, since it is smaller than the sum of its proper divisors (168762984).

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

81313176 is a wasteful number, since it uses less digits than its factorization.

81313176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 81313176 is about 9017.3818816772. The cubic root of 81313176 is about 433.2317810682.

The spelling of 81313176 in words is "eighty-one million, three hundred thirteen thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 71 84 102 119 136 142 168 204 213 238 284 357 401 408 426 476 497 568 714 802 852 952 994 1203 1207 1428 1491 1604 1704 1988 2406 2414 2807 2856 2982 3208 3621 3976 4812 4828 5614 5964 6817 7242 8421 8449 9624 9656 11228 11928 13634 14484 16842 16898 20451 22456 25347 27268 28471 28968 33684 33796 40902 47719 50694 54536 56942 67368 67592 81804 85413 95438 101388 113884 143157 163608 170826 190876 199297 202776 227768 286314 341652 381752 398594 484007 572628 597891 683304 797188 968014 1145256 1195782 1452021 1594376 1936028 2391564 2904042 3388049 3872056 4783128 5808084 6776098 10164147 11616168 13552196 20328294 27104392 40656588 81313176