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74071360 = 2651121913
BaseRepresentation
bin1000110101000…
…11110101000000
312011101012210201
410122203311000
5122430240420
611203334544
71556411326
oct432436500
9164335721
1074071360
11388a1a00
1220981454
1312465a0c
149ba1d16
15678210a
hex46a3d40

74071360 has 84 divisors (see below), whose sum is σ = 193976244. Its totient is φ = 26920960.

The previous prime is 74071351. The next prime is 74071433. The reversal of 74071360 is 6317047.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 26956864 = 6864^2 + 5192^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37764 + ... + 39676.

It is an arithmetic number, because the mean of its divisors is an integer number (2309241).

Almost surely, 274071360 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 74071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96988122).

74071360 is an abundant number, since it is smaller than the sum of its proper divisors (119904884).

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

74071360 is a wasteful number, since it uses less digits than its factorization.

74071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 74071360 is about 8606.4719833390. The cubic root of 74071360 is about 419.9685539571.

The spelling of 74071360 in words is "seventy-four million, seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1913 1936 2420 3520 3826 3872 4840 7652 7744 9565 9680 15304 19130 19360 21043 30608 38260 38720 42086 61216 76520 84172 105215 122432 153040 168344 210430 231473 306080 336688 420860 462946 612160 673376 841720 925892 1157365 1346752 1683440 1851784 2314730 3366880 3703568 4629460 6733760 7407136 9258920 14814272 18517840 37035680 74071360