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2001286872 = 2333131937511
BaseRepresentation
bin111011101001001…
…0011011011011000
312011110202220111000
41313102103123120
513044312134442
6530330305000
7100410441414
oct16722233330
95143686430
102001286872
119377464a2
1247a288160
1325b808020
1414db11d44
15baa68d4c
hex774936d8

2001286872 has 128 divisors (see below), whose sum is σ = 6302016000. Its totient is φ = 583355520.

The previous prime is 2001286843. The next prime is 2001286873. The reversal of 2001286872 is 2786821002.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001286873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34597 + ... + 72107.

It is an arithmetic number, because the mean of its divisors is an integer number (49234500).

Almost surely, 22001286872 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 2001286872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151008000).

2001286872 is an abundant number, since it is smaller than the sum of its proper divisors (4300729128).

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

2001286872 is a wasteful number, since it uses less digits than its factorization.

2001286872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37558 (or 37548 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2001286872 is about 44735.7449027062. The cubic root of 2001286872 is about 1260.1912181447.

The spelling of 2001286872 in words is "two billion, one million, two hundred eighty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 104 108 114 117 152 156 171 216 228 234 247 312 342 351 456 468 494 513 684 702 741 936 988 1026 1368 1404 1482 1976 2052 2223 2808 2964 4104 4446 5928 6669 8892 13338 17784 26676 37511 53352 75022 112533 150044 225066 300088 337599 450132 487643 675198 712709 900264 975286 1012797 1350396 1425418 1462929 1950572 2025594 2138127 2700792 2850836 2925858 3901144 4051188 4276254 4388787 5701672 5851716 6414381 8102376 8552508 8777574 9265217 11703432 12828762 13166361 17105016 17555148 18530434 19243143 25657524 26332722 27795651 35110296 37060868 38486286 51315048 52665444 55591302 74121736 76972572 83386953 105330888 111182604 153945144 166773906 222365208 250160859 333547812 500321718 667095624 1000643436 2001286872