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73020220 = 22571353757
BaseRepresentation
bin1000101101000…
…11001100111100
312002101210220121
410112203030330
5122143121340
611125024324
71544442640
oct426431474
9162353817
1073020220
1138244199
12205550a4
1312188440
1499aac20
15662594a
hex45a333c

73020220 has 96 divisors (see below), whose sum is σ = 192544128. Its totient is φ = 22643712.

The previous prime is 73020191. The next prime is 73020307. The reversal of 73020220 is 2202037.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73020194 and 73020203.

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, 96082 + ... + 96838.

It is an arithmetic number, because the mean of its divisors is an integer number (2005668).

Almost surely, 273020220 is an apocalyptic number.

73020220 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 73020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96272064).

73020220 is an abundant number, since it is smaller than the sum of its proper divisors (119523908).

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

73020220 is a wasteful number, since it uses less digits than its factorization.

73020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 73020220 is about 8545.1869493885. The cubic root of 73020220 is about 417.9725033995.

Adding to 73020220 its reverse (2202037), we get a palindrome (75222257).

The spelling of 73020220 in words is "seventy-three million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 757 910 1060 1378 1484 1514 1820 1855 2756 3028 3445 3710 3785 4823 5299 6890 7420 7570 9646 9841 10598 13780 15140 19292 19682 21196 24115 26495 39364 40121 48230 49205 52990 68887 80242 96460 98410 105980 137774 160484 196820 200605 275548 280847 344435 401210 521573 561694 688870 802420 1043146 1123388 1377740 1404235 2086292 2607865 2808470 3651011 5215730 5616940 7302022 10431460 14604044 18255055 36510110 73020220