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73380060 = 223351310453
BaseRepresentation
bin1000101111110…
…11000011011100
312010002002112000
410113323003130
5122241130220
611140442300
71550502015
oct427730334
9163062460
1073380060
113846a586
12206a9390
1312283170
149a6200c
156697390
hex45fb0dc

73380060 has 96 divisors (see below), whose sum is σ = 245878080. Its totient is φ = 18061056.

The previous prime is 73380049. The next prime is 73380089. The reversal of 73380060 is 6008337.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794 + ... + 12246.

It is an arithmetic number, because the mean of its divisors is an integer number (2561230).

Almost surely, 273380060 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 73380060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122939040).

73380060 is an abundant number, since it is smaller than the sum of its proper divisors (172498020).

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

73380060 is a wasteful number, since it uses less digits than its factorization.

73380060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73380060 is about 8566.2162008672. The cubic root of 73380060 is about 418.6579612080.

Adding to 73380060 its reverse (6008337), we get a palindrome (79388397).

The spelling of 73380060 in words is "seventy-three million, three hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 10453 20906 31359 41812 52265 62718 94077 104530 125436 135889 156795 188154 209060 271778 282231 313590 376308 407667 470385 543556 564462 627180 679445 815334 940770 1128924 1223001 1358890 1411155 1630668 1881540 2038335 2446002 2717780 2822310 3669003 4076670 4892004 5644620 6115005 7338006 8153340 12230010 14676012 18345015 24460020 36690030 73380060