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73026390 = 23517312149
BaseRepresentation
bin1000101101001…
…00101101010110
312002102010101010
410112210231112
5122143321030
611125113050
71544466633
oct426445526
9162363333
1073026390
1138248898
1220558786
131218b1a8
1499ad18a
1566276b0
hex45a4b56

73026390 has 96 divisors (see below), whose sum is σ = 193039200. Its totient is φ = 17617920.

The previous prime is 73026389. The next prime is 73026461. The reversal of 73026390 is 9362037.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 490036 + ... + 490184.

It is an arithmetic number, because the mean of its divisors is an integer number (2010825).

Almost surely, 273026390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73026390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96519600).

73026390 is an abundant number, since it is smaller than the sum of its proper divisors (120012810).

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

73026390 is a wasteful number, since it uses less digits than its factorization.

73026390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 73026390 is about 8545.5479637060. The cubic root of 73026390 is about 417.9842755621.

The spelling of 73026390 in words is "seventy-three million, twenty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 149 155 170 186 255 298 310 447 465 510 527 745 894 930 961 1054 1490 1581 1922 2235 2533 2635 2883 3162 4470 4619 4805 5066 5270 5766 7599 7905 9238 9610 12665 13857 14415 15198 15810 16337 23095 25330 27714 28830 32674 37995 46190 49011 69285 75990 78523 81685 98022 138570 143189 157046 163370 235569 245055 286378 392615 429567 471138 490110 715945 785230 859134 1177845 1431890 2147835 2355690 2434213 4295670 4868426 7302639 12171065 14605278 24342130 36513195 73026390