Search a number
-
+
73104012 = 223317291373
BaseRepresentation
bin1000101101101…
…11101010001100
312002120001212000
410112313222030
5122203312022
611130512300
71545242142
oct426675214
9162501760
1073104012
11382a1143
1220595690
13121b7617
1499cd592
1566406ac
hex45b7a8c

73104012 has 96 divisors (see below), whose sum is σ = 207748800. Its totient is φ = 22127616.

The previous prime is 73103981. The next prime is 73104023. The reversal of 73104012 is 21040137.

It is a super-2 number, since 2×731040122 = 10688393140992288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 52558 + ... + 53930.

It is an arithmetic number, because the mean of its divisors is an integer number (2164050).

Almost surely, 273104012 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 73104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103874400).

73104012 is an abundant number, since it is smaller than the sum of its proper divisors (134644788).

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

73104012 is a wasteful number, since it uses less digits than its factorization.

73104012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73104012 is about 8550.0884205954. The cubic root of 73104012 is about 418.1323192429.

Adding to 73104012 its reverse (21040137), we get a palindrome (94144149).

The spelling of 73104012 in words is "seventy-three million, one hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 459 493 522 612 783 918 986 1044 1373 1479 1566 1836 1972 2746 2958 3132 4119 4437 5492 5916 8238 8874 12357 13311 16476 17748 23341 24714 26622 37071 39817 46682 49428 53244 70023 74142 79634 93364 119451 140046 148284 159268 210069 238902 280092 358353 420138 477804 630207 676889 716706 840276 1075059 1260414 1353778 1433412 2030667 2150118 2520828 2707556 4061334 4300236 6092001 8122668 12184002 18276003 24368004 36552006 73104012