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2132520 = 2335131367
BaseRepresentation
bin1000001000101000101000
311000100021020
420020220220
51021220040
6113412440
724061155
oct10105050
94010236
102132520
111227215
1286a120
13598860
143d722c
152c1cd0
hex208a28

2132520 has 64 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 524544.

The previous prime is 2132513. The next prime is 2132539. The reversal of 2132520 is 252312.

2132520 = T26 + T27 + ... + T233.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2132520.

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, 877 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

22132520 is an apocalyptic number.

2132520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2132520 is an abundant number, since it is smaller than the sum of its proper divisors (4762200).

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

2132520 is a wasteful number, since it uses less digits than its factorization.

2132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2132520 is about 1460.3150345045. The cubic root of 2132520 is about 128.7155561867.

2132520 divided by its product of nonzero digits (120) gives a palindrome (17771).

Adding to 2132520 its reverse (252312), we get a palindrome (2384832).

The spelling of 2132520 in words is "two million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1367 1560 2734 4101 5468 6835 8202 10936 13670 16404 17771 20505 27340 32808 35542 41010 53313 54680 71084 82020 88855 106626 142168 164040 177710 213252 266565 355420 426504 533130 710840 1066260 2132520