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5146128 = 2432132749
BaseRepresentation
bin10011101000011000010000
3100200110011100
4103220120100
52304134003
6302144400
761512201
oct23503020
910613140
105146128
1129a53a9
121882100
1310b2460
1497d5a8
156b9ba3
hex4e8610

5146128 has 60 divisors (see below), whose sum is σ = 15515500. Its totient is φ = 1582848.

The previous prime is 5146109. The next prime is 5146147. The reversal of 5146128 is 8216415.

It is an interprime number because it is at equal distance from previous prime (5146109) and next prime (5146147).

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 4460544 = 828^2 + 2112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498 + ... + 3246.

Almost surely, 25146128 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 5146128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757750).

5146128 is an abundant number, since it is smaller than the sum of its proper divisors (10369372).

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

5146128 is a wasteful number, since it uses less digits than its factorization.

5146128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2767 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5146128 is about 2268.5078796425. The cubic root of 5146128 is about 172.6474605498.

The spelling of 5146128 in words is "five million, one hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2749 5498 8247 10996 16494 21992 24741 32988 35737 43984 49482 65976 71474 98964 107211 131952 142948 197928 214422 285896 321633 395856 428844 571792 643266 857688 1286532 1715376 2573064 5146128