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73122036 = 22313479973
BaseRepresentation
bin1000101101111…
…00000011110100
312002120222120120
410112330003310
5122204401121
611131131540
71545345531
oct426740364
9162528516
1073122036
1138303739
12205a3bb0
13121c28a0
1499d5d88
156645bc6
hex45bc0f4

73122036 has 48 divisors (see below), whose sum is σ = 187670784. Its totient is φ = 22018176.

The previous prime is 73122031. The next prime is 73122043. The reversal of 73122036 is 63022137.

It is a junction number, because it is equal to n+sod(n) for n = 73121997 and 73122015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346 + ... + 12318.

It is an arithmetic number, because the mean of its divisors is an integer number (3909808).

Almost surely, 273122036 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 73122036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93835392).

73122036 is an abundant number, since it is smaller than the sum of its proper divisors (114548748).

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

73122036 is a wasteful number, since it uses less digits than its factorization.

73122036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10040 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 73122036 is about 8551.1423798227. The cubic root of 73122036 is about 418.1666803193.

The spelling of 73122036 in words is "seventy-three million, one hundred twenty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 9973 19946 29919 39892 59838 119676 129649 259298 388947 468731 518596 777894 937462 1406193 1555788 1874924 2812386 5624772 6093503 12187006 18280509 24374012 36561018 73122036