Search a number
-
+
74191320 = 23325759499
BaseRepresentation
bin1000110110000…
…01000111011000
312011121022100200
410123001013120
5122443110240
611210102200
71560421140
oct433010730
9164538320
1074191320
1138974045
1220a1a960
13124a84b8
149bd3920
1567a7930
hex46c11d8

74191320 has 192 divisors, whose sum is σ = 280800000. Its totient is φ = 16637184.

The previous prime is 74191303. The next prime is 74191321. The reversal of 74191320 is 2319147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74191321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 148431 + ... + 148929.

It is an arithmetic number, because the mean of its divisors is an integer number (1462500).

Almost surely, 274191320 is an apocalyptic number.

74191320 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 74191320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400000).

74191320 is an abundant number, since it is smaller than the sum of its proper divisors (206608680).

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

74191320 is a wasteful number, since it uses less digits than its factorization.

74191320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 74191320 is about 8613.4383378532. The cubic root of 74191320 is about 420.1951474085.

The spelling of 74191320 in words is "seventy-four million, one hundred ninety-one thousand, three hundred twenty".