Search a number
-
+
74057360 = 2451371209
BaseRepresentation
bin1000110101000…
…00011010010000
312011100111121012
410122200122100
5122424313420
611203150052
71556322446
oct432403220
9164314535
1074057360
1138892433
1220975328
131245c530
149b9ab96
15677cdc5
hex46a0690

74057360 has 40 divisors (see below), whose sum is σ = 185430840. Its totient is φ = 27343872.

The previous prime is 74057351. The next prime is 74057363. The reversal of 74057360 is 6375047.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 70492816 = 1888^2 + 8396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (74057363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34565 + ... + 36644.

It is an arithmetic number, because the mean of its divisors is an integer number (4635771).

Almost surely, 274057360 is an apocalyptic number.

It is an amenable number.

74057360 is an abundant number, since it is smaller than the sum of its proper divisors (111373480).

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

74057360 is a wasteful number, since it uses less digits than its factorization.

74057360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71235 (or 71229 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 74057360 is about 8605.6586035004. The cubic root of 74057360 is about 419.9420933015.

The spelling of 74057360 in words is "seventy-four million, fifty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 71209 142418 284836 356045 569672 712090 925717 1139344 1424180 1851434 2848360 3702868 4628585 5696720 7405736 9257170 14811472 18514340 37028680 74057360