Search a number
-
+
6002088 = 2331747313
BaseRepresentation
bin10110111001010110101000
3102021221022120
4112321112220
53014031323
6332351240
7102005541
oct26712650
912257276
106002088
11342a504
122015520
131321c41
14b234c8
157d85e3
hex5b95a8

6002088 has 64 divisors (see below), whose sum is σ = 16277760. Its totient is φ = 1837056.

The previous prime is 6002083. The next prime is 6002089. The reversal of 6002088 is 8802006.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6002083) 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, 19020 + ... + 19332.

It is an arithmetic number, because the mean of its divisors is an integer number (254340).

Almost surely, 26002088 is an apocalyptic number.

6002088 is a gapful number since it is divisible by the number (68) 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 6002088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138880).

6002088 is an abundant number, since it is smaller than the sum of its proper divisors (10275672).

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

6002088 is a wasteful number, since it uses less digits than its factorization.

6002088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6002088 is about 2449.9159169245. The cubic root of 6002088 is about 181.7331354374.

The spelling of 6002088 in words is "six million, two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 313 376 408 564 626 799 939 1128 1252 1598 1878 2397 2504 3196 3756 4794 5321 6392 7512 9588 10642 14711 15963 19176 21284 29422 31926 42568 44133 58844 63852 88266 117688 127704 176532 250087 353064 500174 750261 1000348 1500522 2000696 3001044 6002088