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73022820 = 223513175507
BaseRepresentation
bin1000101101000…
…11110101100100
312002101221110220
410112203311210
5122143212240
611125044340
71544453343
oct426436544
9162357426
1073022820
1138246142
12205566b0
1312189690
1499abb5a
1566265d0
hex45a3d64

73022820 has 96 divisors (see below), whose sum is σ = 233186688. Its totient is φ = 16914432.

The previous prime is 73022801. The next prime is 73022827. The reversal of 73022820 is 2822037.

It is not an unprimeable number, because it can be changed into a prime (73022827) by changing a digit.

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, 10507 + ... + 16013.

It is an arithmetic number, because the mean of its divisors is an integer number (2429028).

Almost surely, 273022820 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 73022820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116593344).

73022820 is an abundant number, since it is smaller than the sum of its proper divisors (160163868).

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

73022820 is a wasteful number, since it uses less digits than its factorization.

73022820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 73022820 is about 8545.3390804578. The cubic root of 73022820 is about 417.9774641972.

Adding to 73022820 its reverse (2822037), we get a palindrome (75844857).

The spelling of 73022820 in words is "seventy-three million, twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 5507 6630 11014 13260 16521 22028 27535 33042 55070 66084 71591 82605 93619 110140 143182 165210 187238 214773 280857 286364 330420 357955 374476 429546 468095 561714 715910 859092 936190 1073865 1123428 1217047 1404285 1431820 1872380 2147730 2434094 2808570 3651141 4295460 4868188 5617140 6085235 7302282 12170470 14604564 18255705 24340940 36511410 73022820