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74141040 = 24351971229
BaseRepresentation
bin1000110101101…
…00110101110000
312011111202101110
410122310311300
5122440003130
611205033320
71560121431
oct432646560
9164452343
1074141040
113893a296
12209b5840
131248b64c
149bbd488
156797ab0
hex46b4d70

74141040 has 160 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 18385920.

The previous prime is 74141027. The next prime is 74141083. The reversal of 74141040 is 4014147.

It is a junction number, because it is equal to n+sod(n) for n = 74140998 and 74141016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323646 + ... + 323874.

It is an arithmetic number, because the mean of its divisors is an integer number (1540080).

Almost surely, 274141040 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 74141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

74141040 is an abundant number, since it is smaller than the sum of its proper divisors (172271760).

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

74141040 is a wasteful number, since it uses less digits than its factorization.

74141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 74141040 is about 8610.5191481118. The cubic root of 74141040 is about 420.1002028493.

Adding to 74141040 its reverse (4014147), we get a palindrome (78155187).

The spelling of 74141040 in words is "seventy-four million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 71 76 80 95 114 120 142 152 190 213 228 229 240 284 285 304 355 380 426 456 458 568 570 687 710 760 852 912 916 1065 1136 1140 1145 1349 1374 1420 1520 1704 1832 2130 2280 2290 2698 2748 2840 3408 3435 3664 4047 4260 4351 4560 4580 5396 5496 5680 6745 6870 8094 8520 8702 9160 10792 10992 13053 13490 13740 16188 16259 17040 17404 18320 20235 21584 21755 26106 26980 27480 32376 32518 34808 40470 43510 48777 52212 53960 54960 64752 65036 65265 69616 80940 81295 87020 97554 104424 107920 130072 130530 161880 162590 174040 195108 208848 243885 260144 261060 308921 323760 325180 348080 390216 487770 522120 617842 650360 780432 926763 975540 1044240 1235684 1300720 1544605 1853526 1951080 2471368 3089210 3707052 3902160 4633815 4942736 6178420 7414104 9267630 12356840 14828208 18535260 24713680 37070520 74141040