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2132910 = 2325131823
BaseRepresentation
bin1000001000101110101110
311000100210200
420020232232
51021223120
6113414330
724062253
oct10105656
94010720
102132910
11122753a
1286a3a6
13598aa0
143d742a
152c1e90
hex208bae

2132910 has 48 divisors (see below), whose sum is σ = 5975424. Its totient is φ = 524736.

The previous prime is 2132903. The next prime is 2132941. The reversal of 2132910 is 192312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

22132910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712).

2132910 is an abundant number, since it is smaller than the sum of its proper divisors (3842514).

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

2132910 is a wasteful number, since it uses less digits than its factorization.

2132910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2132910 is about 1460.4485612304. The cubic root of 2132910 is about 128.7234023041.

The spelling of 2132910 in words is "two million, one hundred thirty-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1823 3646 5469 9115 10938 16407 18230 23699 27345 32814 47398 54690 71097 82035 118495 142194 164070 213291 236990 355485 426582 710970 1066455 2132910