Search a number
-
+
74142936 = 23327157937
BaseRepresentation
bin1000110101101…
…01010011011000
312011111211222200
410122311103120
5122440033221
611205050200
71560130110
oct432652330
9164454880
1074142936
113894075a
12209b6960
131248c47a
149bc0040
156798426
hex46b54d8

74142936 has 96 divisors (see below), whose sum is σ = 231198240. Its totient is φ = 21026304.

The previous prime is 74142911. The next prime is 74142947. The reversal of 74142936 is 63924147.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 74142936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78660 + ... + 79596.

It is an arithmetic number, because the mean of its divisors is an integer number (2408315).

Almost surely, 274142936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74142936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115599120).

74142936 is an abundant number, since it is smaller than the sum of its proper divisors (157055304).

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

74142936 is a wasteful number, since it uses less digits than its factorization.

74142936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1106 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 74142936 is about 8610.6292452991. The cubic root of 74142936 is about 420.1037838762.

It can be divided in two parts, 74142 and 936, that added together give a triangular number (75078 = T387).

The spelling of 74142936 in words is "seventy-four million, one hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 937 942 1099 1256 1413 1874 1884 2198 2811 2826 3297 3748 3768 4396 5622 5652 6559 6594 7496 8433 8792 9891 11244 11304 13118 13188 16866 19677 19782 22488 26236 26376 33732 39354 39564 52472 59031 67464 78708 79128 118062 147109 157416 236124 294218 441327 472248 588436 882654 1029763 1176872 1323981 1765308 2059526 2647962 3089289 3530616 4119052 5295924 6178578 8238104 9267867 10591848 12357156 18535734 24714312 37071468 74142936