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2145536 = 2817229
BaseRepresentation
bin1000001011110100000000
311001000010022
420023310000
51022124121
6113553012
724144131
oct10136400
94030108
102145536
111235a78
12875768
135a1763
143dbc88
152c5aab
hex20bd00

2145536 has 54 divisors (see below), whose sum is σ = 4706310. Its totient is φ = 974848.

The previous prime is 2145529. The next prime is 2145547. The reversal of 2145536 is 6355412.

It can be written as a sum of positive squares in 3 ways, for example, as 891136 + 1254400 = 944^2 + 1120^2 .

Its product of digits (3600) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73970 + ... + 73998.

22145536 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 2145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353155).

2145536 is an abundant number, since it is smaller than the sum of its proper divisors (2560774).

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

2145536 is an equidigital number, since it uses as much as digits as its factorization.

2145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 2145536 is about 1464.7648275406. The cubic root of 2145536 is about 128.9769002967.

The spelling of 2145536 in words is "two million, one hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 289 464 493 544 578 928 986 1088 1156 1856 1972 2176 2312 3712 3944 4352 4624 7424 7888 8381 9248 15776 16762 18496 31552 33524 36992 63104 67048 73984 126208 134096 268192 536384 1072768 2145536