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74007080 = 2357534987
BaseRepresentation
bin1000110100101…
…00001000101000
312011020221121222
410122110020220
5122421211310
611202121212
71556023040
oct432241050
9164227558
1074007080
1138858684
1220950208
1312442694
149b86720
15676d055
hex4694228

74007080 has 64 divisors (see below), whose sum is σ = 193933440. Its totient is φ = 24890112.

The previous prime is 74007019. The next prime is 74007083. The reversal of 74007080 is 8070047.

It is not an unprimeable number, because it can be changed into a prime (74007083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12347 + ... + 17333.

It is an arithmetic number, because the mean of its divisors is an integer number (3030210).

Almost surely, 274007080 is an apocalyptic number.

74007080 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 74007080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96966720).

74007080 is an abundant number, since it is smaller than the sum of its proper divisors (119926360).

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

74007080 is a wasteful number, since it uses less digits than its factorization.

74007080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 74007080 is about 8602.7367738412. The cubic root of 74007080 is about 419.8470342431.

The spelling of 74007080 in words is "seventy-four million, seven thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 4987 7420 9974 14840 19948 24935 34909 39896 49870 69818 99740 139636 174545 199480 264311 279272 349090 528622 698180 1057244 1321555 1396360 1850177 2114488 2643110 3700354 5286220 7400708 9250885 10572440 14801416 18501770 37003540 74007080