Search a number
-
+
41295020 = 22513712237
BaseRepresentation
bin1001110110000…
…1110010101100
32212201000010012
42131201302230
541032420040
64033032352
71011000434
oct235416254
985630105
1041295020
1121345618
12119b56b8
13872b130
1456ad2c4
15395a865
hex2761cac

41295020 has 48 divisors (see below), whose sum is σ = 94747968. Its totient is φ = 15025920.

The previous prime is 41295019. The next prime is 41295031. The reversal of 41295020 is 2059214.

41295020 = T391 + T392 + ... + T674.

41295020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 17342 + ... + 19578.

It is an arithmetic number, because the mean of its divisors is an integer number (1973916).

Almost surely, 241295020 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 41295020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47373984).

41295020 is an abundant number, since it is smaller than the sum of its proper divisors (53452948).

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

41295020 is a wasteful number, since it uses less digits than its factorization.

41295020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 41295020 is about 6426.1201358207. The cubic root of 41295020 is about 345.6468156994.

The spelling of 41295020 in words is "forty-one million, two hundred ninety-five thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 2237 3692 4474 4615 8948 9230 11185 18460 22370 29081 44740 58162 116324 145405 158827 290810 317654 581620 635308 794135 1588270 2064751 3176540 4129502 8259004 10323755 20647510 41295020