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73485420 = 223529157269
BaseRepresentation
bin1000110000101…
…00110001101100
312010021110001020
410120110301230
5122303013140
611143014140
71551421131
oct430246154
9163243036
1073485420
1138531758
122073a350
13122bc0c8
149a8c588
1566b86d0
hex4614c6c

73485420 has 96 divisors (see below), whose sum is σ = 215006400. Its totient is φ = 18729984.

The previous prime is 73485403. The next prime is 73485443. The reversal of 73485420 is 2458437.

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 31 ways as a sum of consecutive naturals, for example, 273046 + ... + 273314.

It is an arithmetic number, because the mean of its divisors is an integer number (2239650).

Almost surely, 273485420 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 73485420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107503200).

73485420 is an abundant number, since it is smaller than the sum of its proper divisors (141520980).

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

73485420 is a wasteful number, since it uses less digits than its factorization.

73485420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 73485420 is about 8572.3637347000. The cubic root of 73485420 is about 418.8582368164.

The spelling of 73485420 in words is "seventy-three million, four hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 157 174 269 290 314 348 435 471 538 580 628 785 807 870 942 1076 1345 1570 1614 1740 1884 2355 2690 3140 3228 4035 4553 4710 5380 7801 8070 9106 9420 13659 15602 16140 18212 22765 23403 27318 31204 39005 42233 45530 46806 54636 68295 78010 84466 91060 93612 117015 126699 136590 156020 168932 211165 234030 253398 273180 422330 468060 506796 633495 844660 1224757 1266990 2449514 2533980 3674271 4899028 6123785 7348542 12247570 14697084 18371355 24495140 36742710 73485420