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74245120 = 210517853
BaseRepresentation
bin1000110110011…
…10010000000000
312011201001011021
410123032100000
5123001320440
611211155224
71561034035
oct433162000
9164631137
1074245120
1138a00504
1220a45b14
13124c6b31
149c0938c
1567b884a
hex46ce400

74245120 has 88 divisors (see below), whose sum is σ = 188798904. Its totient is φ = 27918336.

The previous prime is 74245097. The next prime is 74245121. The reversal of 74245120 is 2154247.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 71368704 = 1696^2 + 8448^2 .

It is not an unprimeable number, because it can be changed into a prime (74245121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86614 + ... + 87466.

Almost surely, 274245120 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 74245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94399452).

74245120 is an abundant number, since it is smaller than the sum of its proper divisors (114553784).

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

74245120 is a wasteful number, since it uses less digits than its factorization.

74245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 877 counting only the distinct ones).

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

The square root of 74245120 is about 8616.5607988338. The cubic root of 74245120 is about 420.2966913481.

Adding to 74245120 its reverse (2154247), we get a palindrome (76399367).

It can be divided in two parts, 7424 and 5120, that added together give a square (12544 = 1122).

The spelling of 74245120 in words is "seventy-four million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 853 1024 1088 1280 1360 1706 2176 2560 2720 3412 4265 4352 5120 5440 6824 8530 8704 10880 13648 14501 17060 17408 21760 27296 29002 34120 43520 54592 58004 68240 72505 87040 109184 116008 136480 145010 218368 232016 272960 290020 436736 464032 545920 580040 873472 928064 1091840 1160080 1856128 2183680 2320160 3712256 4367360 4640320 7424512 9280640 14849024 18561280 37122560 74245120