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2131008 = 263111009
BaseRepresentation
bin1000001000010001000000
311000021012020
420020101000
51021143013
6113401440
724053565
oct10102100
94007166
102131008
111226070
12869280
13597c69
143d686c
152c1623
hex208440

2131008 has 56 divisors (see below), whose sum is σ = 6156960. Its totient is φ = 645120.

The previous prime is 2130979. The next prime is 2131013. The reversal of 2131008 is 8001312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1608 + ... + 2616.

22131008 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 2131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078480).

2131008 is an abundant number, since it is smaller than the sum of its proper divisors (4025952).

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

2131008 is a wasteful number, since it uses less digits than its factorization.

2131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2131008 is about 1459.7972461955. The cubic root of 2131008 is about 128.6851283462.

It can be divided in two parts, 213 and 1008, that added together give a palindrome (1221).

The spelling of 2131008 in words is "two million, one hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1009 1056 2018 2112 3027 4036 6054 8072 11099 12108 16144 22198 24216 32288 33297 44396 48432 64576 66594 88792 96864 133188 177584 193728 266376 355168 532752 710336 1065504 2131008