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1997712 = 243213873
BaseRepresentation
bin111100111101110010000
310202111100100
413213232100
51002411322
6110452400
722660143
oct7475620
93674310
101997712
111144a02
12804100
1354c3a2
143a005a
15296dac
hex1e7b90

1997712 has 30 divisors (see below), whose sum is σ = 5591222. Its totient is φ = 665856.

The previous prime is 1997707. The next prime is 1997713. The reversal of 1997712 is 2177991.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 318096 = 1296^2 + 564^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1997713) 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, 6793 + ... + 7080.

21997712 is an apocalyptic number.

1997712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1997712 is an abundant number, since it is smaller than the sum of its proper divisors (3593510).

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

1997712 is a wasteful number, since it uses less digits than its factorization.

1997712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13887 (or 13878 counting only the distinct ones).

The product of its digits is 7938, while the sum is 36.

The square root of 1997712 is about 1413.4044007290. The cubic root of 1997712 is about 125.9440416673.

The spelling of 1997712 in words is "one million, nine hundred ninety-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13873 27746 41619 55492 83238 110984 124857 166476 221968 249714 332952 499428 665904 998856 1997712