Search a number
-
+
74790540 = 22355111399
BaseRepresentation
bin1000111010100…
…11011010001100
312012201202100000
410131103122030
5123121244130
611231004300
71565465136
oct435233214
9165652300
1074790540
1139243270
1221069690
1312658176
149d0c056
156875260
hex475368c

74790540 has 144 divisors (see below), whose sum is σ = 256838400. Its totient is φ = 18118080.

The previous prime is 74790533. The next prime is 74790557. The reversal of 74790540 is 4509747.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74790495 and 74790504.

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 47 ways as a sum of consecutive naturals, for example, 52761 + ... + 54159.

It is an arithmetic number, because the mean of its divisors is an integer number (1783600).

Almost surely, 274790540 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 74790540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419200).

74790540 is an abundant number, since it is smaller than the sum of its proper divisors (182047860).

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

74790540 is a wasteful number, since it uses less digits than its factorization.

74790540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 74790540 is about 8648.1524038375. The cubic root of 74790540 is about 421.3233768166.

The spelling of 74790540 in words is "seventy-four million, seven hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1399 1485 1620 1782 1980 2430 2673 2798 2970 3564 4197 4455 4860 5346 5596 5940 6995 8394 8910 10692 12591 13365 13990 15389 16788 17820 20985 25182 26730 27980 30778 37773 41970 46167 50364 53460 61556 62955 75546 76945 83940 92334 113319 125910 138501 151092 153890 184668 188865 226638 230835 251820 277002 307780 339957 377730 415503 453276 461670 554004 566595 679914 692505 755460 831006 923340 1133190 1246509 1359828 1385010 1662012 1699785 2077515 2266380 2493018 2770020 3399570 3739527 4155030 4986036 6232545 6799140 7479054 8310060 12465090 14958108 18697635 24930180 37395270 74790540