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74733540 = 22357612917
BaseRepresentation
bin1000111010001…
…01011111100100
312012121212010220
410131011133210
5123112433130
611225444340
71565140020
oct435053744
9165555126
1074733540
1139204462
12210406b0
131263823b
149cd5380
156863410
hex47457e4

74733540 has 96 divisors (see below), whose sum is σ = 243151104. Its totient is φ = 16796160.

The previous prime is 74733539. The next prime is 74733577. The reversal of 74733540 is 4533747.

It is a super-3 number, since 3×747335403 (a number of 25 digits) contains 333 as substring.

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, 24162 + ... + 27078.

It is an arithmetic number, because the mean of its divisors is an integer number (2532824).

Almost surely, 274733540 is an apocalyptic number.

74733540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74733540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121575552).

74733540 is an abundant number, since it is smaller than the sum of its proper divisors (168417564).

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

74733540 is a wasteful number, since it uses less digits than its factorization.

74733540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 74733540 is about 8644.8562741089. The cubic root of 74733540 is about 421.2163154333.

The spelling of 74733540 in words is "seventy-four million, seven hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 2917 3660 4270 5124 5834 6405 8540 8751 11668 12810 14585 17502 20419 25620 29170 35004 40838 43755 58340 61257 81676 87510 102095 122514 175020 177937 204190 245028 306285 355874 408380 533811 612570 711748 889685 1067622 1225140 1245559 1779370 2135244 2491118 2669055 3558740 3736677 4982236 5338110 6227795 7473354 10676220 12455590 14946708 18683385 24911180 37366770 74733540