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6002040 = 2335114547
BaseRepresentation
bin10110111001010101111000
3102021221020210
4112321111320
53014031130
6332351120
7102005442
oct26712570
912257223
106002040
11342a470
1220154a0
131321c05
14b23492
157d85b0
hex5b9578

6002040 has 64 divisors (see below), whose sum is σ = 19647360. Its totient is φ = 1454720.

The previous prime is 6002033. The next prime is 6002047. The reversal of 6002040 is 402006.

It is an interprime number because it is at equal distance from previous prime (6002033) and next prime (6002047).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (306990).

Almost surely, 26002040 is an apocalyptic number.

6002040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6002040 is an abundant number, since it is smaller than the sum of its proper divisors (13645320).

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

6002040 is a wasteful number, since it uses less digits than its factorization.

6002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6002040 is about 2449.9061206503. The cubic root of 6002040 is about 181.7326509830.

Adding to 6002040 its reverse (402006), we get a palindrome (6404046).

The spelling of 6002040 in words is "six million, two thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4547 9094 13641 18188 22735 27282 36376 45470 50017 54564 68205 90940 100034 109128 136410 150051 181880 200068 250085 272820 300102 400136 500170 545640 600204 750255 1000340 1200408 1500510 2000680 3001020 6002040