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4128240 = 2435103167
BaseRepresentation
bin1111101111110111110000
321202201212210
433233313300
52024100430
6224252120
750042454
oct17576760
97681783
104128240
11236a676
121471040
13b1705c
14796664
155682b0
hex3efdf0

4128240 has 80 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1083648.

The previous prime is 4128233. The next prime is 4128251. The reversal of 4128240 is 428214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 24637 + ... + 24803.

Almost surely, 24128240 is an apocalyptic number.

4128240 is a gapful number since it is divisible by the number (40) 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 4128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

4128240 is an abundant number, since it is smaller than the sum of its proper divisors (8870928).

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

4128240 is a wasteful number, since it uses less digits than its factorization.

4128240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4128240 is about 2031.8070774559. The cubic root of 4128240 is about 160.4186950513.

The spelling of 4128240 in words is "four million, one hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 167 206 240 309 334 412 501 515 618 668 824 835 1002 1030 1236 1336 1545 1648 1670 2004 2060 2472 2505 2672 3090 3340 4008 4120 4944 5010 6180 6680 8016 8240 10020 12360 13360 17201 20040 24720 34402 40080 51603 68804 86005 103206 137608 172010 206412 258015 275216 344020 412824 516030 688040 825648 1032060 1376080 2064120 4128240