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2145852 = 223437179
BaseRepresentation
bin1000001011111000111100
311001000120000
420023320330
51022131402
6113554300
724145062
oct10137074
94030500
102145852
111236235
12875990
135a1947
143dc032
152c5c1c
hex20be3c

2145852 has 60 divisors (see below), whose sum is σ = 5793480. Its totient is φ = 692064.

The previous prime is 2145839. The next prime is 2145853. The reversal of 2145852 is 2585412.

It is a happy number.

2145852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11899 + ... + 12077.

It is an arithmetic number, because the mean of its divisors is an integer number (96558).

22145852 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 2145852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896740).

2145852 is an abundant number, since it is smaller than the sum of its proper divisors (3647628).

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

2145852 is a wasteful number, since it uses less digits than its factorization.

2145852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2145852 is about 1464.8726907141. The cubic root of 2145852 is about 128.9832320012.

The spelling of 2145852 in words is "two million, one hundred forty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 179 222 324 333 358 444 537 666 716 999 1074 1332 1611 1998 2148 2997 3222 3996 4833 5994 6444 6623 9666 11988 13246 14499 19332 19869 26492 28998 39738 57996 59607 79476 119214 178821 238428 357642 536463 715284 1072926 2145852