[go: up one dir, main page]

Search a number
-
+
74912040 = 233657367
BaseRepresentation
bin1000111011100…
…01000100101000
312012221221000000
410131301010220
5123134141130
611233343000
71566512310
oct435610450
9165857000
1074912040
1139316585
1221107a60
131269b568
149d40440
15689b260
hex4771128

74912040 has 224 divisors, whose sum is σ = 289601280. Its totient is φ = 17076096.

The previous prime is 74912023. The next prime is 74912053. The reversal of 74912040 is 4021947.

It is a happy number.

It is a super-2 number, since 2×749120402 = 11223627473923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 74911995 and 74912013.

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 55 ways as a sum of consecutive naturals, for example, 203937 + ... + 204303.

Almost surely, 274912040 is an apocalyptic number.

74912040 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 74912040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144800640).

74912040 is an abundant number, since it is smaller than the sum of its proper divisors (214689240).

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

74912040 is a wasteful number, since it uses less digits than its factorization.

74912040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 74912040 is about 8655.1741750239. The cubic root of 74912040 is about 421.5514051868.

Adding to 74912040 its reverse (4021947), we get a palindrome (78933987).

The spelling of 74912040 in words is "seventy-four million, nine hundred twelve thousand, forty".