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74536540 = 225132831013
BaseRepresentation
bin1000111000101…
…01011001011100
312012020211220121
410130111121130
5123040132130
611221324324
71563356461
oct434253134
9165224817
1074536540
113908a451
1220b666a4
1312599680
149c83668
156824d7a
hex471565c

74536540 has 48 divisors (see below), whose sum is σ = 169329888. Its totient is φ = 27396864.

The previous prime is 74536513. The next prime is 74536543. The reversal of 74536540 is 4563547.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74536496 and 74536505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74536543) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73074 + ... + 74086.

It is an arithmetic number, because the mean of its divisors is an integer number (3527706).

Almost surely, 274536540 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 74536540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84664944).

74536540 is an abundant number, since it is smaller than the sum of its proper divisors (94793348).

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

74536540 is a wasteful number, since it uses less digits than its factorization.

74536540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 74536540 is about 8633.4546967017. The cubic root of 74536540 is about 420.8458765227.

It can be divided in two parts, 74536 and 540, that added together give a square (75076 = 2742).

The spelling of 74536540 in words is "seventy-four million, five hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 283 566 1013 1132 1415 2026 2830 3679 4052 5065 5660 7358 10130 13169 14716 18395 20260 26338 36790 52676 65845 73580 131690 263380 286679 573358 1146716 1433395 2866790 3726827 5733580 7453654 14907308 18634135 37268270 74536540