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73070010 = 232513192173
BaseRepresentation
bin1000101101011…
…11010110111010
312002111100012200
410112233112322
5122201220020
611130051030
71545041046
oct426572672
9162440180
1073070010
1138278642
1220579a76
13121a4cc0
1499c1026
156635590
hex45af5ba

73070010 has 144 divisors (see below), whose sum is σ = 217179144. Its totient is φ = 16941312.

The previous prime is 73069973. The next prime is 73070017. The reversal of 73070010 is 1007037.

It can be written as a sum of positive squares in 4 ways, for example, as 60980481 + 12089529 = 7809^2 + 3477^2 .

It is a super-2 number, since 2×730700102 = 10678452722800200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73070017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422284 + ... + 422456.

Almost surely, 273070010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73070010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108589572).

73070010 is an abundant number, since it is smaller than the sum of its proper divisors (144109134).

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

73070010 is a wasteful number, since it uses less digits than its factorization.

73070010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 73070010 is about 8548.0997888420. The cubic root of 73070010 is about 418.0674822180.

Adding to 73070010 its reverse (1007037), we get a palindrome (74077047).

The spelling of 73070010 in words is "seventy-three million, seventy thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 173 190 195 234 247 285 342 346 361 390 494 519 570 585 722 741 855 865 1038 1083 1170 1235 1482 1557 1710 1730 1805 2166 2223 2249 2470 2595 3114 3249 3287 3610 3705 4446 4498 4693 5190 5415 6498 6574 6747 7410 7785 9386 9861 10830 11115 11245 13494 14079 15570 16245 16435 19722 20241 22230 22490 23465 28158 29583 32490 32870 33735 40482 42237 42731 46930 49305 59166 62453 67470 70395 84474 85462 98610 101205 124906 128193 140790 147915 187359 202410 211185 213655 256386 295830 312265 374718 384579 422370 427310 562077 624530 640965 769158 811889 936795 1124154 1281930 1623778 1873590 1922895 2435667 2810385 3845790 4059445 4871334 5620770 7307001 8118890 12178335 14614002 24356670 36535005 73070010