Search a number
-
+
74053800 = 23325241141
BaseRepresentation
bin1000110100111…
…11100010101000
312011100022201100
410122133202220
5122424210200
611203121400
71556306202
oct432374250
9164308640
1074053800
113888a797
1220973260
131245aa22
149b99772
15677bd00
hex469f8a8

74053800 has 72 divisors (see below), whose sum is σ = 248703390. Its totient is φ = 19747200.

The previous prime is 74053799. The next prime is 74053801. The reversal of 74053800 is 835047.

It is an interprime number because it is at equal distance from previous prime (74053799) and next prime (74053801).

It can be written as a sum of positive squares in 3 ways, for example, as 57062916 + 16990884 = 7554^2 + 4122^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (74053801) 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 17 ways as a sum of consecutive naturals, for example, 18771 + ... + 22370.

Almost surely, 274053800 is an apocalyptic number.

It is an amenable number.

74053800 is an abundant number, since it is smaller than the sum of its proper divisors (174649590).

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

74053800 is a wasteful number, since it uses less digits than its factorization.

74053800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41163 (or 41151 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 74053800 is about 8605.4517603668. The cubic root of 74053800 is about 419.9353642031.

Adding to 74053800 its reverse (835047), we get a palindrome (74888847).

The spelling of 74053800 in words is "seventy-four million, fifty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 41141 82282 123423 164564 205705 246846 329128 370269 411410 493692 617115 740538 822820 987384 1028525 1234230 1481076 1645640 1851345 2057050 2468460 2962152 3085575 3702690 4114100 4936920 6171150 7405380 8228200 9256725 12342300 14810760 18513450 24684600 37026900 74053800