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73068912 = 2433773331
BaseRepresentation
bin1000101101011…
…11000101110000
312002111021201000
410112233011300
5122201201122
611130042000
71545034620
oct426570560
9162437630
1073068912
1138277834
1220579300
13121a4657
1499c0880
1566350ac
hex45af170

73068912 has 160 divisors (see below), whose sum is σ = 243714560. Its totient is φ = 20528640.

The previous prime is 73068901. The next prime is 73068943. The reversal of 73068912 is 21986037.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 220587 + ... + 220917.

It is an arithmetic number, because the mean of its divisors is an integer number (1523216).

Almost surely, 273068912 is an apocalyptic number.

73068912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73068912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121857280).

73068912 is an abundant number, since it is smaller than the sum of its proper divisors (170645648).

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

73068912 is a wasteful number, since it uses less digits than its factorization.

73068912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73068912 is about 8548.0355638006. The cubic root of 73068912 is about 418.0653881514.

The spelling of 73068912 in words is "seventy-three million, sixty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 144 146 168 189 216 219 252 292 331 336 378 432 438 504 511 584 657 662 756 876 993 1008 1022 1168 1314 1324 1512 1533 1752 1971 1986 2044 2317 2628 2648 2979 3024 3066 3504 3942 3972 4088 4599 4634 5256 5296 5958 6132 6951 7884 7944 8176 8937 9198 9268 10512 11916 12264 13797 13902 15768 15888 17874 18396 18536 20853 23832 24163 24528 27594 27804 31536 35748 36792 37072 41706 47664 48326 55188 55608 62559 71496 72489 73584 83412 96652 110376 111216 125118 142992 144978 166824 169141 193304 217467 220752 250236 289956 333648 338282 386608 434934 500472 507423 579912 652401 676564 869868 1000944 1014846 1159824 1304802 1353128 1522269 1739736 2029692 2609604 2706256 3044538 3479472 4059384 4566807 5219208 6089076 8118768 9133614 10438416 12178152 18267228 24356304 36534456 73068912