Search a number
-
+
74597040 = 24325719241
BaseRepresentation
bin1000111001001…
…00001010110000
312012100220220100
410130210022300
5123044101130
611222512400
71564031040
oct434441260
9165326810
1074597040
1139120951
1220b95700
13125bb07b
149c9b720
156837c60
hex47242b0

74597040 has 360 divisors, whose sum is σ = 309542688. Its totient is φ = 15759360.

The previous prime is 74596987. The next prime is 74597053. The reversal of 74597040 is 4079547.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 74596986 and 74597004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1819420 + ... + 1819460.

Almost surely, 274597040 is an apocalyptic number.

74597040 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 74597040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

74597040 is an abundant number, since it is smaller than the sum of its proper divisors (234945648).

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

74597040 is a wasteful number, since it uses less digits than its factorization.

74597040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 74597040 is about 8636.9577977434. The cubic root of 74597040 is about 420.9597101308.

The spelling of 74597040 in words is "seventy-four million, five hundred ninety-seven thousand, forty".