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74087680 = 28557881
BaseRepresentation
bin1000110101001…
…11110100000000
312011102001012011
410122213310000
5122431301210
611203542304
71556510032
oct432476400
9164361164
1074087680
1138903197
122098a994
1312470284
149ba7c52
156786d8a
hex46a7d00

74087680 has 36 divisors (see below), whose sum is σ = 177466212. Its totient is φ = 29634560.

The previous prime is 74087647. The next prime is 74087681. The reversal of 74087680 is 8678047.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 62473216 = 3408^2 + 7904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74087681) 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 3 ways as a sum of consecutive naturals, for example, 27661 + ... + 30220.

It is an arithmetic number, because the mean of its divisors is an integer number (4929617).

Almost surely, 274087680 is an apocalyptic number.

It is an amenable number.

74087680 is an abundant number, since it is smaller than the sum of its proper divisors (103378532).

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

74087680 is an equidigital number, since it uses as much as digits as its factorization.

74087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57902 (or 57888 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 74087680 is about 8607.4200548132. The cubic root of 74087680 is about 419.9993953128. Note that the first 3 decimals are identical.

The spelling of 74087680 in words is "seventy-four million, eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 57881 115762 231524 289405 463048 578810 926096 1157620 1852192 2315240 3704384 4630480 7408768 9260960 14817536 18521920 37043840 74087680