Search a number
-
+
8078136 = 2331137827
BaseRepresentation
bin11110110100001100111000
3120012102010020
4132310030320
54032000021
6445050440
7125443263
oct36641470
916172106
108078136
114618250
122856a20
13189ab81
141103cda
15a987c6
hex7b4338

8078136 has 64 divisors (see below), whose sum is σ = 22654080. Its totient is φ = 2378880.

The previous prime is 8078131. The next prime is 8078143. The reversal of 8078136 is 6318708.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8078097 and 8078106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8078131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9355 + ... + 10181.

It is an arithmetic number, because the mean of its divisors is an integer number (353970).

Almost surely, 28078136 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 8078136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327040).

8078136 is an abundant number, since it is smaller than the sum of its proper divisors (14575944).

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

8078136 is a wasteful number, since it uses less digits than its factorization.

8078136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 8078136 is about 2842.2061853426. The cubic root of 8078136 is about 200.6490248885.

The spelling of 8078136 in words is "eight million, seventy-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 827 888 1221 1628 1654 2442 2481 3256 3308 4884 4962 6616 9097 9768 9924 18194 19848 27291 30599 36388 54582 61198 72776 91797 109164 122396 183594 218328 244792 336589 367188 673178 734376 1009767 1346356 2019534 2692712 4039068 8078136