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2980128 = 25337839
BaseRepresentation
bin1011010111100100100000
312121101222010
423113210200
51230331003
6143512520
734221264
oct13274440
95541863
102980128
111756018
12bb8740
138045b8
145780a4
153dd003
hex2d7920

2980128 has 48 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 965376.

The previous prime is 2980121. The next prime is 2980139. The reversal of 2980128 is 8210892.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2980095 and 2980104.

It is not an unprimeable number, because it can be changed into a prime (2980121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3133 + ... + 3971.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

22980128 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 2980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2980128 is an abundant number, since it is smaller than the sum of its proper divisors (5063712).

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

2980128 is a wasteful number, since it uses less digits than its factorization.

2980128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2980128 is about 1726.3047239697. The cubic root of 2980128 is about 143.9058025919.

The spelling of 2980128 in words is "two million, nine hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 839 888 1184 1678 1776 2517 3356 3552 5034 6712 10068 13424 20136 26848 31043 40272 62086 80544 93129 124172 186258 248344 372516 496688 745032 993376 1490064 2980128