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73161240 = 23353171277
BaseRepresentation
bin1000101110001…
…01101000011000
312002122222100120
410113011220120
5122212124430
611132033240
71545601035
oct427055030
9162588316
1073161240
1138330139
1220602820
1312207699
149a0638c
156652610
hex45c5a18

73161240 has 128 divisors (see below), whose sum is σ = 230584320. Its totient is φ = 18547200.

The previous prime is 73161227. The next prime is 73161259. The reversal of 73161240 is 4216137.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 73161240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263982 + ... + 264258.

It is an arithmetic number, because the mean of its divisors is an integer number (1801440).

Almost surely, 273161240 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 73161240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115292160).

73161240 is an abundant number, since it is smaller than the sum of its proper divisors (157423080).

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

73161240 is a wasteful number, since it uses less digits than its factorization.

73161240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73161240 is about 8553.4343979480. The cubic root of 73161240 is about 418.2413995990.

Adding to 73161240 its reverse (4216137), we get a palindrome (77377377).

The spelling of 73161240 in words is "seventy-three million, one hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 71 93 120 124 142 155 186 213 248 277 284 310 355 372 426 465 554 568 620 710 744 831 852 930 1065 1108 1240 1385 1420 1662 1704 1860 2130 2201 2216 2770 2840 3324 3720 4155 4260 4402 5540 6603 6648 8310 8520 8587 8804 11005 11080 13206 16620 17174 17608 19667 22010 25761 26412 33015 33240 34348 39334 42935 44020 51522 52824 59001 66030 68696 78668 85870 88040 98335 103044 118002 128805 132060 157336 171740 196670 206088 236004 257610 264120 295005 343480 393340 472008 515220 590010 609677 786680 1030440 1180020 1219354 1829031 2360040 2438708 3048385 3658062 4877416 6096770 7316124 9145155 12193540 14632248 18290310 24387080 36580620 73161240