Search a number
-
+
74137140 = 223357111783
BaseRepresentation
bin1000110101100…
…11111000110100
312011111120001000
410122303320310
5122434342030
611205003300
71560104160
oct432637064
9164446030
1074137140
1138937370
12209b3530
131248993c
149bbbca0
156796860
hex46b3e34

74137140 has 192 divisors, whose sum is σ = 287723520. Its totient is φ = 15396480.

The previous prime is 74137103. The next prime is 74137157. The reversal of 74137140 is 4173147.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40689 + ... + 42471.

It is an arithmetic number, because the mean of its divisors is an integer number (1498560).

Almost surely, 274137140 is an apocalyptic number.

74137140 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 74137140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143861760).

74137140 is an abundant number, since it is smaller than the sum of its proper divisors (213586380).

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

74137140 is a wasteful number, since it uses less digits than its factorization.

74137140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 74137140 is about 8610.2926779524. The cubic root of 74137140 is about 420.0928366208.

The spelling of 74137140 in words is "seventy-four million, one hundred thirty-seven thousand, one hundred forty".