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73250820 = 22325834903
BaseRepresentation
bin1000101110110…
…11100000000100
312002211112020100
410113123200010
5122223011240
611134004100
71546423146
oct427334004
9162745210
1073250820
1138391475
1220646630
13122393a6
149a2ac96
15666de30
hex45db804

73250820 has 72 divisors (see below), whose sum is σ = 224917056. Its totient is φ = 19294272.

The previous prime is 73250803. The next prime is 73250843. The reversal of 73250820 is 2805237.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12489 + ... + 17391.

It is an arithmetic number, because the mean of its divisors is an integer number (3123848).

Almost surely, 273250820 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 73250820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112458528).

73250820 is an abundant number, since it is smaller than the sum of its proper divisors (151666236).

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

73250820 is a wasteful number, since it uses less digits than its factorization.

73250820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4996 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 73250820 is about 8558.6692890893. The cubic root of 73250820 is about 418.4120308585.

The spelling of 73250820 in words is "seventy-three million, two hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4903 4980 7470 9806 14709 14940 19612 24515 29418 44127 49030 58836 73545 88254 98060 147090 176508 220635 294180 406949 441270 813898 882540 1220847 1627796 2034745 2441694 3662541 4069490 4883388 6104235 7325082 8138980 12208470 14650164 18312705 24416940 36625410 73250820