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74045140 = 225133743179
BaseRepresentation
bin1000110100111…
…01011011010100
312011022212211121
410122131123110
5122423421030
611203013324
71556242021
oct432353324
9164285747
1074045140
1138884234
122096a244
1312456ac0
149b96548
15677947a
hex469d6d4

74045140 has 96 divisors (see below), whose sum is σ = 176964480. Its totient is φ = 25837056.

The previous prime is 74045137. The next prime is 74045203. The reversal of 74045140 is 4154047.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413571 + ... + 413749.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 274045140 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 74045140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88482240).

74045140 is an abundant number, since it is smaller than the sum of its proper divisors (102919340).

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

74045140 is a wasteful number, since it uses less digits than its factorization.

74045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 74045140 is about 8604.9485762554. The cubic root of 74045140 is about 419.9189942035.

Adding to 74045140 its reverse (4154047), we get a palindrome (78199187).

It can be divided in two parts, 7404 and 5140, that added together give a square (12544 = 1122).

The spelling of 74045140 in words is "seventy-four million, forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 43 52 65 74 86 130 148 172 179 185 215 260 358 370 430 481 559 716 740 860 895 962 1118 1591 1790 1924 2236 2327 2405 2795 3182 3580 4654 4810 5590 6364 6623 7697 7955 9308 9620 11180 11635 13246 15394 15910 20683 23270 26492 30788 31820 33115 38485 41366 46540 66230 76970 82732 86099 100061 103415 132460 153940 172198 200122 206830 284789 344396 400244 413660 430495 500305 569578 860990 1000610 1139156 1423945 1721980 2001220 2847890 3702257 5695780 7404514 14809028 18511285 37022570 74045140