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2135540 = 2251117571
BaseRepresentation
bin1000001001010111110100
311000111102002
420021113310
51021314130
6113434432
724103031
oct10112764
94014362
102135540
111229510
1286ba18
1359a044
143d8388
152c2b45
hex2095f4

2135540 has 48 divisors (see below), whose sum is σ = 5189184. Its totient is φ = 729600.

The previous prime is 2135537. The next prime is 2135563. The reversal of 2135540 is 455312.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3455 + ... + 4025.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

22135540 is an apocalyptic number.

2135540 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 2135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592).

2135540 is an abundant number, since it is smaller than the sum of its proper divisors (3053644).

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

2135540 is a wasteful number, since it uses less digits than its factorization.

2135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2135540 is about 1461.3486921334. The cubic root of 2135540 is about 128.7762883449.

The spelling of 2135540 in words is "two million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 571 748 935 1142 1870 2284 2855 3740 5710 6281 9707 11420 12562 19414 25124 31405 38828 48535 62810 97070 106777 125620 194140 213554 427108 533885 1067770 2135540