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996975 = 33527211
BaseRepresentation
bin11110011011001101111
31212122121000
43303121233
5223400400
633211343
711321430
oct3633157
91778530
10996975
11621051
12400b53
1328ba35
141bd487
1514a600
hexf366f

996975 has 48 divisors (see below), whose sum is σ = 2103040. Its totient is φ = 453600.

The previous prime is 996973. The next prime is 996979. The reversal of 996975 is 579699.

It is not a de Polignac number, because 996975 - 21 = 996973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 996975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4620 + ... + 4830.

2996975 is an apocalyptic number.

996975 is an abundant number, since it is smaller than the sum of its proper divisors (1106065).

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

996975 is a wasteful number, since it uses less digits than its factorization.

996975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 996975 is about 998.4863544386. The cubic root of 996975 is about 99.8990648218.

996975 divided by its sum of digits (45) gives a triangular number (22155 = T210).

The spelling of 996975 in words is "nine hundred ninety-six thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 211 225 315 525 633 675 945 1055 1477 1575 1899 3165 4431 4725 5275 5697 7385 9495 13293 15825 22155 28485 36925 39879 47475 66465 110775 142425 199395 332325 996975