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73381860 = 223251723981
BaseRepresentation
bin1000101111110…
…11011111100100
312010002011222200
410113323133210
5122241204420
611140454500
71550510166
oct427733744
9163064880
1073381860
1138470972
12206aa430
1312283c26
149a62936
156697b90
hex45fb7e4

73381860 has 72 divisors (see below), whose sum is σ = 235695096. Its totient is φ = 18416640.

The previous prime is 73381829. The next prime is 73381873. The reversal of 73381860 is 6818337.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 72897444 = 696^2 + 8538^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8931 + ... + 15050.

It is an arithmetic number, because the mean of its divisors is an integer number (3273543).

Almost surely, 273381860 is an apocalyptic number.

It is an amenable number.

73381860 is an abundant number, since it is smaller than the sum of its proper divisors (162313236).

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

73381860 is a wasteful number, since it uses less digits than its factorization.

73381860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24013 (or 24008 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 73381860 is about 8566.3212641133. The cubic root of 73381860 is about 418.6613843821.

The spelling of 73381860 in words is "seventy-three million, three hundred eighty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 23981 47962 71943 95924 119905 143886 215829 239810 287772 359715 407677 431658 479620 719430 815354 863316 1079145 1223031 1438860 1630708 2038385 2158290 2446062 3669093 4076770 4316580 4892124 6115155 7338186 8153540 12230310 14676372 18345465 24460620 36690930 73381860