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2000891032 = 237313731151
BaseRepresentation
bin111011101000011…
…0010110010011000
312011110000210111021
41313100302302120
513044212003112
6530314012224
7100404202360
oct16720626230
95143023437
102000891032
119374a6058
1247a117074
1325b6c9aba
1414da4b9a0
15ba9db907
hex77432c98

2000891032 has 64 divisors (see below), whose sum is σ = 4545699840. Its totient is φ = 807408000.

The previous prime is 2000891029. The next prime is 2000891059. The reversal of 2000891032 is 2301980002.

It is a junction number, because it is equal to n+sod(n) for n = 2000890988 and 2000891006.

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, 48657 + ... + 79807.

It is an arithmetic number, because the mean of its divisors is an integer number (71026560).

Almost surely, 22000891032 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 2000891032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272849920).

2000891032 is an abundant number, since it is smaller than the sum of its proper divisors (2544808808).

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

2000891032 is a wasteful number, since it uses less digits than its factorization.

2000891032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31232 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2000891032 is about 44731.3204812914. The cubic root of 2000891032 is about 1260.1081271111.

The spelling of 2000891032 in words is "two billion, eight hundred ninety-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 74 124 148 217 248 259 296 434 518 868 1036 1147 1736 2072 2294 4588 8029 9176 16058 31151 32116 62302 64232 124604 218057 249208 436114 872228 965681 1152587 1744456 1931362 2305174 3862724 4610348 6759767 7725448 8068109 9220696 13519534 16136218 27039068 32272436 35730197 54078136 64544872 71460394 142920788 250111379 285841576 500222758 1000445516 2000891032