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4128084 = 223531137
BaseRepresentation
bin1111101111110101010100
321202201200000
433233311110
52024044314
6224251300
750042142
oct17576524
97681600
104128084
11236a544
121470b30
13b16c6c
14796592
15568209
hex3efd54

4128084 has 72 divisors (see below), whose sum is σ = 11251968. Its totient is φ = 1321920.

The previous prime is 4128079. The next prime is 4128097. The reversal of 4128084 is 4808214.

It is a super-2 number, since 2×41280842 = 34082155022112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30064 + ... + 30200.

Almost surely, 24128084 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 4128084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625984).

4128084 is an abundant number, since it is smaller than the sum of its proper divisors (7123884).

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

4128084 is a wasteful number, since it uses less digits than its factorization.

4128084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4128084 is about 2031.7686876217. The cubic root of 4128084 is about 160.4166743652.

The spelling of 4128084 in words is "four million, one hundred twenty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 137 162 186 243 274 279 324 372 411 486 548 558 822 837 972 1116 1233 1644 1674 2466 2511 3348 3699 4247 4932 5022 7398 7533 8494 10044 11097 12741 14796 15066 16988 22194 25482 30132 33291 38223 44388 50964 66582 76446 114669 133164 152892 229338 344007 458676 688014 1032021 1376028 2064042 4128084