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1993536 = 26323461
BaseRepresentation
bin111100110101101000000
310202021121200
413212231000
51002243121
6110421200
722642026
oct7465500
93667550
101993536
111141856
12801800
1354a50c
1439c716
15295a26
hex1e6b40

1993536 has 42 divisors (see below), whose sum is σ = 5715762. Its totient is φ = 664320.

The previous prime is 1993531. The next prime is 1993553. The reversal of 1993536 is 6353991.

It can be written as a sum of positive squares in only one way, i.e., 1440000 + 553536 = 1200^2 + 744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1993536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1155 + ... + 2306.

21993536 is an apocalyptic number.

1993536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1993536 is an abundant number, since it is smaller than the sum of its proper divisors (3722226).

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

1993536 is a wasteful number, since it uses less digits than its factorization.

1993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3466 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 1993536 is about 1411.9263436879. The cubic root of 1993536 is about 125.8562229995.

The spelling of 1993536 in words is "one million, nine hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3461 6922 10383 13844 20766 27688 31149 41532 55376 62298 83064 110752 124596 166128 221504 249192 332256 498384 664512 996768 1993536