Search a number
-
+
8138088 = 2332767241
BaseRepresentation
bin11111000010110101101000
3120022110100200
4133002311220
54040404323
6450232200
7126113130
oct37026550
916273320
108138088
1146592a2
122885660
1318bc24a
14111bac0
15aab443
hex7c2d68

8138088 has 96 divisors (see below), whose sum is σ = 25671360. Its totient is φ = 2280960.

The previous prime is 8138083. The next prime is 8138107. The reversal of 8138088 is 8808318.

8138088 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (8138083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33648 + ... + 33888.

It is an arithmetic number, because the mean of its divisors is an integer number (267410).

Almost surely, 28138088 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 8138088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12835680).

8138088 is an abundant number, since it is smaller than the sum of its proper divisors (17533272).

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

8138088 is a wasteful number, since it uses less digits than its factorization.

8138088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8138088 is about 2852.7334260320. The cubic root of 8138088 is about 201.1441751669.

The spelling of 8138088 in words is "eight million, one hundred thirty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 241 252 268 402 469 482 504 536 603 723 804 938 964 1206 1407 1446 1608 1687 1876 1928 2169 2412 2814 2892 3374 3752 4221 4338 4824 5061 5628 5784 6748 8442 8676 10122 11256 13496 15183 16147 16884 17352 20244 30366 32294 33768 40488 48441 60732 64588 96882 113029 121464 129176 145323 193764 226058 290646 339087 387528 452116 581292 678174 904232 1017261 1162584 1356348 2034522 2712696 4069044 8138088