[go: up one dir, main page]

Search a number
-
+
41029020 = 223251032213
BaseRepresentation
bin1001110010000…
…0110110011100
32212012111020100
42130200312130
541000412040
64023221100
71005512064
oct234406634
985174210
1041029020
112118378a
12118a7790
138667036
1456403a4
153906b30
hex2720d9c

41029020 has 72 divisors (see below), whose sum is σ = 125719776. Its totient is φ = 10829952.

The previous prime is 41028971. The next prime is 41029031. The reversal of 41029020 is 2092014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41028984 and 41029002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17434 + ... + 19646.

It is an arithmetic number, because the mean of its divisors is an integer number (1746108).

Almost surely, 241029020 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 41029020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62859888).

41029020 is an abundant number, since it is smaller than the sum of its proper divisors (84690756).

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

41029020 is a wasteful number, since it uses less digits than its factorization.

41029020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41029020 is about 6405.3899178739. The cubic root of 41029020 is about 344.9030603507.

The spelling of 41029020 in words is "forty-one million, twenty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 2213 3090 3708 4426 4635 6180 6639 8852 9270 11065 13278 18540 19917 22130 26556 33195 39834 44260 66390 79668 99585 132780 199170 227939 398340 455878 683817 911756 1139695 1367634 2051451 2279390 2735268 3419085 4102902 4558780 6838170 8205804 10257255 13676340 20514510 41029020