Search a number
-
+
74937240 = 233257131227
BaseRepresentation
bin1000111011101…
…11001110011000
312020000012120100
410131313032120
5123140442430
611234055400
71566645630
oct435671630
9166005510
1074937240
1139333504
122111a560
13126a9b81
149d496c0
1568a3960
hex4777398

74937240 has 192 divisors, whose sum is σ = 281698560. Its totient is φ = 16922880.

The previous prime is 74937229. The next prime is 74937251. The reversal of 74937240 is 4273947.

It is an interprime number because it is at equal distance from previous prime (74937229) and next prime (74937251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74937195 and 74937204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330007 + ... + 330233.

It is an arithmetic number, because the mean of its divisors is an integer number (1467180).

Almost surely, 274937240 is an apocalyptic number.

74937240 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 74937240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140849280).

74937240 is an abundant number, since it is smaller than the sum of its proper divisors (206761320).

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

74937240 is a wasteful number, since it uses less digits than its factorization.

74937240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 74937240 is about 8656.6298292118. The cubic root of 74937240 is about 421.5986690821.

The spelling of 74937240 in words is "seventy-four million, nine hundred thirty-seven thousand, two hundred forty".