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73330040 = 23571012593
BaseRepresentation
bin1000101111011…
…10110101111000
312002222112220102
410113232311320
5122233030130
611135414532
71550203130
oct427566570
9162875812
1073330040
1138435a43
1220684448
1312266474
149a4bac0
156687645
hex45eed78

73330040 has 64 divisors (see below), whose sum is σ = 190503360. Its totient is φ = 24883200.

The previous prime is 73330021. The next prime is 73330051. The reversal of 73330040 is 4003337.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 73329994 and 73330021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26984 + ... + 29576.

It is an arithmetic number, because the mean of its divisors is an integer number (2976615).

Almost surely, 273330040 is an apocalyptic number.

73330040 is a gapful number since it is divisible by the number (70) 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 73330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95251680).

73330040 is an abundant number, since it is smaller than the sum of its proper divisors (117173320).

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

73330040 is a wasteful number, since it uses less digits than its factorization.

73330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 20.

The square root of 73330040 is about 8563.2960943786. The cubic root of 73330040 is about 418.5628126019.

Adding to 73330040 its reverse (4003337), we get a palindrome (77333377).

The spelling of 73330040 in words is "seventy-three million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2593 2828 3535 4040 5186 5656 7070 10372 12965 14140 18151 20744 25930 28280 36302 51860 72604 90755 103720 145208 181510 261893 363020 523786 726040 1047572 1309465 1833251 2095144 2618930 3666502 5237860 7333004 9166255 10475720 14666008 18332510 36665020 73330040