Search a number
-
+
9040941 = 3272131983
BaseRepresentation
bin100010011111…
…010000101101
3122000022211200
4202133100231
54303302231
6521440113
7136563300
oct42372055
918008750
109040941
115115658
123040039
131b47190
1412b4b37
15bd8be6
hex89f42d

9040941 has 72 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 4463424.

The previous prime is 9040939. The next prime is 9040943. The reversal of 9040941 is 1490409.

9040941 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9040939) and next prime (9040943).

It is not a de Polignac number, because 9040941 - 21 = 9040939 is a prime.

It is a super-2 number, since 2×90409412 = 163477228330962, which contains 22 as substring.

It is a Curzon number.

9040941 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9040943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108886 + ... + 108968.

It is an arithmetic number, because the mean of its divisors is an integer number (242060).

Almost surely, 29040941 is an apocalyptic number.

9040941 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9040941 is a deficient number, since it is larger than the sum of its proper divisors (8387379).

9040941 is a wasteful number, since it uses less digits than its factorization.

9040941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9040941 is about 3006.8157575748. The cubic root of 9040941 is about 208.3233152872.

The spelling of 9040941 in words is "nine million, forty thousand, nine hundred forty-one".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 83 91 117 133 147 171 247 249 273 399 441 581 637 741 747 819 931 1079 1197 1577 1729 1743 1911 2223 2793 3237 4067 4731 5187 5229 5733 7553 8379 9711 11039 12103 12201 14193 15561 20501 22659 33117 36309 36603 52871 61503 67977 77273 99351 108927 143507 158613 184509 231819 430521 475839 695457 1004549 1291563 3013647 9040941