Search a number
-
+
71123940 = 22335131711
BaseRepresentation
bin1000011110101…
…00001111100100
311221211110201000
410033110033210
5121201431230
611020233300
71522354266
oct417241744
9157743630
1071123940
1137169518
121b99b830
1311973294
149635b36
15639db60
hex43d43e4

71123940 has 48 divisors (see below), whose sum is σ = 221276160. Its totient is φ = 18966240.

The previous prime is 71123891. The next prime is 71123947. The reversal of 71123940 is 4932117.

It is a super-2 number, since 2×711239402 = 10117229682247200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71123947) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65316 + ... + 66395.

It is an arithmetic number, because the mean of its divisors is an integer number (4609920).

Almost surely, 271123940 is an apocalyptic number.

It is an amenable number.

71123940 is an abundant number, since it is smaller than the sum of its proper divisors (150152220).

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

71123940 is a wasteful number, since it uses less digits than its factorization.

71123940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131729 (or 131721 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71123940 is about 8433.5010523507. The cubic root of 71123940 is about 414.3225799253.

The spelling of 71123940 in words is "seventy-one million, one hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 131711 263422 395133 526844 658555 790266 1185399 1317110 1580532 1975665 2370798 2634220 3556197 3951330 4741596 5926995 7112394 7902660 11853990 14224788 17780985 23707980 35561970 71123940