Search a number
-
+
1005344136 = 23343150047
BaseRepresentation
bin111011111011000…
…101010110001000
32121001201202220000
4323323011112020
54024332003021
6243432003000
733625166316
oct7373052610
92531652800
101005344136
11476543a25
12240830460
1313038b7b4
149773d0b6
155d3d9b26
hex3bec5588

1005344136 has 80 divisors (see below), whose sum is σ = 2906787840. Its totient is φ = 324298080.

The previous prime is 1005344029. The next prime is 1005344143. The reversal of 1005344136 is 6314435001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4936 + ... + 45111.

It is an arithmetic number, because the mean of its divisors is an integer number (36334848).

Almost surely, 21005344136 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 1005344136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453393920).

1005344136 is an abundant number, since it is smaller than the sum of its proper divisors (1901443704).

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

1005344136 is a wasteful number, since it uses less digits than its factorization.

1005344136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50096 (or 50083 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1005344136 is about 31707.1622192841. The cubic root of 1005344136 is about 1001.7782147447.

Adding to 1005344136 its reverse (6314435001), we get a palindrome (7319779137).

The spelling of 1005344136 in words is "one billion, five million, three hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 20088 50047 100094 150141 200188 300282 400376 450423 600564 900846 1201128 1351269 1551457 1801692 2702538 3102914 3603384 4053807 4654371 5405076 6205828 8107614 9308742 10810152 12411656 13963113 16215228 18617484 27926226 32430456 37234968 41889339 55852452 83778678 111704904 125668017 167557356 251336034 335114712 502672068 1005344136