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74535140 = 22517257853
BaseRepresentation
bin1000111000101…
…01000011100100
312012020202222202
410130111003210
5123040111030
611221314032
71563352421
oct434250344
9165222882
1074535140
1139089399
1220b65918
1312598b44
149c82d48
156824745
hex47150e4

74535140 has 48 divisors (see below), whose sum is σ = 166570992. Its totient is φ = 27918336.

The previous prime is 74535137. The next prime is 74535143. The reversal of 74535140 is 4153547.

It is an interprime number because it is at equal distance from previous prime (74535137) and next prime (74535143).

It can be written as a sum of positive squares in 8 ways, for example, as 1364224 + 73170916 = 1168^2 + 8554^2 .

It is not an unprimeable number, because it can be changed into a prime (74535143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86954 + ... + 87806.

It is an arithmetic number, because the mean of its divisors is an integer number (3470229).

Almost surely, 274535140 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 74535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83285496).

74535140 is an abundant number, since it is smaller than the sum of its proper divisors (92035852).

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

74535140 is a wasteful number, since it uses less digits than its factorization.

74535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 74535140 is about 8633.3736163796. The cubic root of 74535140 is about 420.8432416275.

Adding to 74535140 its reverse (4153547), we get a palindrome (78688687).

The spelling of 74535140 in words is "seventy-four million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 257 340 514 853 1028 1285 1706 2570 3412 4265 4369 5140 8530 8738 14501 17060 17476 21845 29002 43690 58004 72505 87380 145010 219221 290020 438442 876884 1096105 2192210 3726757 4384420 7453514 14907028 18633785 37267570 74535140