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2132964 = 2232179331
BaseRepresentation
bin1000001000101111100100
311000100212200
420020233210
51021223324
6113414500
724062361
oct10105744
94010780
102132964
111227589
1286a430
13598b12
143d7468
152c1ec9
hex208be4

2132964 has 36 divisors (see below), whose sum is σ = 5438160. Its totient is φ = 704880.

The previous prime is 2132957. The next prime is 2132981. The reversal of 2132964 is 4692312.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6279 + ... + 6609.

It is an arithmetic number, because the mean of its divisors is an integer number (151060).

22132964 is an apocalyptic number.

It is an amenable number.

2132964 is an abundant number, since it is smaller than the sum of its proper divisors (3305196).

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

2132964 is a wasteful number, since it uses less digits than its factorization.

2132964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2132964 is about 1460.4670485841. The cubic root of 2132964 is about 128.7244886142.

The spelling of 2132964 in words is "two million, one hundred thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 179 331 358 537 662 716 993 1074 1324 1611 1986 2148 2979 3222 3972 5958 6444 11916 59249 118498 177747 236996 355494 533241 710988 1066482 2132964