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73074190 = 25721947167
BaseRepresentation
bin1000101101100…
…00011000001110
312002111112221111
410112300120032
5122201333230
611130122234
71545056200
oct426603016
9162445844
1073074190
11382807a2
122058037a
13121a6b87
1499c2770
15663692a
hex45b060e

73074190 has 96 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 23091264.

The previous prime is 73074181. The next prime is 73074191. The reversal of 73074190 is 9147037.

It is a super-2 number, since 2×730741902 = 10679674488312200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73074191) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 437487 + ... + 437653.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 273074190 is an apocalyptic number.

73074190 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73074190 is an abundant number, since it is smaller than the sum of its proper divisors (92399090).

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

73074190 is a wasteful number, since it uses less digits than its factorization.

73074190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 73074190 is about 8548.3442841289. The cubic root of 73074190 is about 418.0754539734.

The spelling of 73074190 in words is "seventy-three million, seventy-four thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 19 35 38 47 49 70 94 95 98 133 167 190 235 245 266 329 334 470 490 658 665 835 893 931 1169 1330 1645 1670 1786 1862 2303 2338 3173 3290 4465 4606 4655 5845 6251 6346 7849 8183 8930 9310 11515 11690 12502 15698 15865 16366 22211 23030 31255 31730 39245 40915 43757 44422 54943 62510 78490 81830 87514 109886 111055 149131 155477 218785 222110 274715 298262 310954 384601 437570 549430 745655 769202 777385 1043917 1491310 1554770 1923005 2087834 3846010 5219585 7307419 10439170 14614838 36537095 73074190