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6128040 = 2335223229
BaseRepresentation
bin10111011000000110101000
3102112100002110
4113120012220
53032044130
6335202320
7103042002
oct27300650
912470073
106128040
1135060a6
1220763a0
131367379
14b57372
15810ab0
hex5d81a8

6128040 has 64 divisors (see below), whose sum is σ = 18547200. Its totient is φ = 1619712.

The previous prime is 6128039. The next prime is 6128053. The reversal of 6128040 is 408216.

It is a junction number, because it is equal to n+sod(n) for n = 6127998 and 6128016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26646 + ... + 26874.

It is an arithmetic number, because the mean of its divisors is an integer number (289800).

Almost surely, 26128040 is an apocalyptic number.

6128040 is a gapful number since it is divisible by the number (60) 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 6128040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273600).

6128040 is an abundant number, since it is smaller than the sum of its proper divisors (12419160).

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

6128040 is a wasteful number, since it uses less digits than its factorization.

6128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6128040 is about 2475.4878307114. The cubic root of 6128040 is about 182.9955506697.

The spelling of 6128040 in words is "six million, one hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 229 446 458 669 687 892 916 1115 1145 1338 1374 1784 1832 2230 2290 2676 2748 3345 3435 4460 4580 5352 5496 6690 6870 8920 9160 13380 13740 26760 27480 51067 102134 153201 204268 255335 306402 408536 510670 612804 766005 1021340 1225608 1532010 2042680 3064020 6128040