Search a number
-
+
41258140 = 22571173367
BaseRepresentation
bin1001110101100…
…0110010011100
32212122010112021
42131120302130
541030230030
64032145524
71010455060
oct235306234
985563467
1041258140
112131a940
12119982a4
138717401
14569daa0
15394e97a
hex2758c9c

41258140 has 96 divisors (see below), whose sum is σ = 109799424. Its totient is φ = 12648960.

The previous prime is 41258123. The next prime is 41258141. The reversal of 41258140 is 4185214.

41258140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41258141) 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 31 ways as a sum of consecutive naturals, for example, 112237 + ... + 112603.

It is an arithmetic number, because the mean of its divisors is an integer number (1143744).

Almost surely, 241258140 is an apocalyptic number.

41258140 is the 3212-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41258140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899712).

41258140 is an abundant number, since it is smaller than the sum of its proper divisors (68541284).

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

41258140 is a wasteful number, since it uses less digits than its factorization.

41258140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 41258140 is about 6423.2499562138. The cubic root of 41258140 is about 345.5438876199.

The spelling of 41258140 in words is "forty-one million, two hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 367 385 511 730 734 770 803 1022 1460 1468 1540 1606 1835 2044 2555 2569 3212 3670 4015 4037 5110 5138 5621 7340 8030 8074 10220 10276 11242 12845 16060 16148 20185 22484 25690 26791 28105 28259 40370 51380 53582 56210 56518 80740 107164 112420 113036 133955 141295 187537 267910 282590 294701 375074 535820 565180 589402 750148 937685 1178804 1473505 1875370 2062907 2947010 3750740 4125814 5894020 8251628 10314535 20629070 41258140