Search a number
-
+
74432140 = 22523435371
BaseRepresentation
bin1000110111110…
…11111010001100
312012001112200221
410123323322030
5123023312030
611215201124
71562443216
oct433737214
9165045627
1074432140
1139018a72
1220b161a4
1312560cb3
149c575b6
156803e7a
hex46fbe8c

74432140 has 96 divisors (see below), whose sum is σ = 172440576. Its totient is φ = 26906880.

The previous prime is 74432131. The next prime is 74432143. The reversal of 74432140 is 4123447.

It is not an unprimeable number, because it can be changed into a prime (74432143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048305 + ... + 1048375.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256).

Almost surely, 274432140 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 74432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86220288).

74432140 is an abundant number, since it is smaller than the sum of its proper divisors (98008436).

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

74432140 is a wasteful number, since it uses less digits than its factorization.

74432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 74432140 is about 8627.4063309896. The cubic root of 74432140 is about 420.6492980451.

Adding to 74432140 its reverse (4123447), we get a palindrome (78555587).

The spelling of 74432140 in words is "seventy-four million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 43 46 53 71 86 92 106 115 142 172 212 215 230 265 284 355 430 460 530 710 860 989 1060 1219 1420 1633 1978 2279 2438 3053 3266 3763 3956 4558 4876 4945 6095 6106 6532 7526 8165 9116 9890 11395 12190 12212 15052 15265 16330 18815 19780 22790 24380 30530 32660 37630 45580 52417 61060 70219 75260 86549 104834 140438 161809 173098 209668 262085 280876 323618 346196 351095 432745 524170 647236 702190 809045 865490 1048340 1404380 1618090 1730980 3236180 3721607 7443214 14886428 18608035 37216070 74432140