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2135052 = 223353373
BaseRepresentation
bin1000001001010000001100
311000110202000
420021100030
51021310202
6113432300
724101433
oct10112014
94013660
102135052
111229107
1286b690
13599a5a
143d811a
152c291c
hex20940c

2135052 has 48 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 696384.

The previous prime is 2135051. The next prime is 2135057. The reversal of 2135052 is 2505312.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2135051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5538 + ... + 5910.

It is an arithmetic number, because the mean of its divisors is an integer number (117810).

22135052 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 2135052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440).

2135052 is an abundant number, since it is smaller than the sum of its proper divisors (3519828).

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

2135052 is a wasteful number, since it uses less digits than its factorization.

2135052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2135052 is about 1461.1817135456. The cubic root of 2135052 is about 128.7664785519.

The spelling of 2135052 in words is "two million, one hundred thirty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 373 477 636 746 954 1119 1431 1492 1908 2238 2862 3357 4476 5724 6714 10071 13428 19769 20142 39538 40284 59307 79076 118614 177921 237228 355842 533763 711684 1067526 2135052