Search a number
-
+
74012730 = 235111779167
BaseRepresentation
bin1000110100101…
…01100000111010
312011021020101020
410122111200322
5122421401410
611202203310
71556045361
oct432254072
9164236336
1074012730
1138861950
1220953536
131244511c
149b887d8
15676ea70
hex469583a

74012730 has 128 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 16573440.

The previous prime is 74012723. The next prime is 74012737. The reversal of 74012730 is 3721047.

It is an interprime number because it is at equal distance from previous prime (74012723) and next prime (74012737).

It is a self number, because there is not a number n which added to its sum of digits gives 74012730.

It is not an unprimeable number, because it can be changed into a prime (74012737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443107 + ... + 443273.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 274012730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74012730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

74012730 is an abundant number, since it is smaller than the sum of its proper divisors (135006150).

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

74012730 is a wasteful number, since it uses less digits than its factorization.

74012730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 74012730 is about 8603.0651514446. The cubic root of 74012730 is about 419.8577182451.

Adding to 74012730 its reverse (3721047), we get a palindrome (77733777).

The spelling of 74012730 in words is "seventy-four million, twelve thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 79 85 102 110 158 165 167 170 187 237 255 330 334 374 395 474 501 510 561 790 835 869 935 1002 1122 1185 1343 1670 1738 1837 1870 2370 2505 2607 2686 2805 2839 3674 4029 4345 5010 5214 5511 5610 5678 6715 8058 8517 8690 9185 11022 13035 13193 13430 14195 14773 17034 18370 20145 26070 26386 27555 28390 29546 31229 39579 40290 42585 44319 55110 62458 65965 73865 79158 85170 88638 93687 131930 145123 147730 156145 187374 197895 221595 224281 290246 312290 395790 435369 443190 448562 468435 672843 725615 870738 936870 1121405 1345686 1451230 2176845 2242810 2467091 3364215 4353690 4934182 6728430 7401273 12335455 14802546 24670910 37006365 74012730