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2004002040 = 233521179147
BaseRepresentation
bin111011101110010…
…1010010011111000
312011122212211222210
41313130222103320
513101011031130
6530504415120
7100442510355
oct16734522370
95148784883
102004002040
11939230437
1247b1774a0
1325c248b31
1415021b62c
15bae035b0
hex7772a4f8

2004002040 has 64 divisors (see below), whose sum is σ = 6040575360. Its totient is φ = 531861120.

The previous prime is 2004002023. The next prime is 2004002069. The reversal of 2004002040 is 402004002.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14254 + ... + 64893.

It is an arithmetic number, because the mean of its divisors is an integer number (94383990).

Almost surely, 22004002040 is an apocalyptic number.

2004002040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004002040 is an abundant number, since it is smaller than the sum of its proper divisors (4036573320).

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

2004002040 is a wasteful number, since it uses less digits than its factorization.

2004002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79372 (or 79368 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2004002040 is about 44766.0813563126. The cubic root of 2004002040 is about 1260.7608657207.

Adding to 2004002040 its reverse (402004002), we get a palindrome (2406006042).

The spelling of 2004002040 in words is "two billion, four million, two thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 1055 1266 1688 2110 2532 3165 4220 5064 6330 8440 12660 25320 79147 158294 237441 316588 395735 474882 633176 791470 949764 1187205 1582940 1899528 2374410 3165880 4748820 9497640 16700017 33400034 50100051 66800068 83500085 100200102 133600136 167000170 200400204 250500255 334000340 400800408 501000510 668000680 1002001020 2004002040