Search a number
-
+
2996136 = 2333111397
BaseRepresentation
bin1011011011011110101000
312122012221000
423123132220
51231334021
6144115000
734316043
oct13333650
95565830
102996136
111767050
121005a60
1380b980
1457dc5a
153e2b26
hex2db7a8

2996136 has 128 divisors (see below), whose sum is σ = 9878400. Its totient is φ = 829440.

The previous prime is 2996117. The next prime is 2996153. The reversal of 2996136 is 6316992.

2996136 = T129 + T130 + ... + T271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2996136.

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 31 ways as a sum of consecutive naturals, for example, 30840 + ... + 30936.

It is an arithmetic number, because the mean of its divisors is an integer number (77175).

22996136 is an apocalyptic number.

2996136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939200).

2996136 is an abundant number, since it is smaller than the sum of its proper divisors (6882264).

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

2996136 is a wasteful number, since it uses less digits than its factorization.

2996136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2996136 is about 1730.9350074454. The cubic root of 2996136 is about 144.1630098456.

The spelling of 2996136 in words is "two million, nine hundred ninety-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 97 99 104 108 117 132 143 156 194 198 216 234 264 286 291 297 312 351 388 396 429 468 572 582 594 702 776 792 858 873 936 1067 1144 1164 1188 1261 1287 1404 1716 1746 2134 2328 2376 2522 2574 2619 2808 3201 3432 3492 3783 3861 4268 5044 5148 5238 6402 6984 7566 7722 8536 9603 10088 10296 10476 11349 12804 13871 15132 15444 19206 20952 22698 25608 27742 28809 30264 30888 34047 38412 41613 45396 55484 57618 68094 76824 83226 90792 110968 115236 124839 136188 166452 230472 249678 272376 332904 374517 499356 749034 998712 1498068 2996136