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8440146 = 23311131093
BaseRepresentation
bin100000001100…
…100101010010
3120212210201000
4200030211102
54130041041
6500522430
7131511561
oct40144522
916783630
108440146
114845230
1229b0416
131996890
141199bd8
15b1abb6
hex80c952

8440146 has 64 divisors (see below), whose sum is σ = 22055040. Its totient is φ = 2358720.

The previous prime is 8440139. The next prime is 8440147. The reversal of 8440146 is 6410448.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8440147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7176 + ... + 8268.

It is an arithmetic number, because the mean of its divisors is an integer number (344610).

Almost surely, 28440146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8440146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027520).

8440146 is an abundant number, since it is smaller than the sum of its proper divisors (13614894).

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

8440146 is a wasteful number, since it uses less digits than its factorization.

8440146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8440146 is about 2905.1929367944. The cubic root of 8440146 is about 203.6026000545.

The spelling of 8440146 in words is "eight million, four hundred forty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1093 1287 2186 2574 3279 3861 6558 7722 9837 12023 14209 19674 24046 28418 29511 36069 42627 59022 72138 85254 108207 127881 156299 216414 255762 312598 324621 383643 468897 649242 767286 937794 1406691 2813382 4220073 8440146