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1983136 = 25292137
BaseRepresentation
bin111100100001010100000
310201202100111
413210022200
51001430021
6110301104
722566511
oct7441240
93652314
101983136
111134a61
127b7794
1354586c
14398a08
152928e1
hex1e42a0

1983136 has 24 divisors (see below), whose sum is σ = 4040820. Its totient is φ = 956928.

The previous prime is 1983109. The next prime is 1983143. The reversal of 1983136 is 6313891.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 144400 = 1356^2 + 380^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1983098 and 1983107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141 + ... + 1996.

21983136 is an apocalyptic number.

1983136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1983136 is an abundant number, since it is smaller than the sum of its proper divisors (2057684).

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

1983136 is a wasteful number, since it uses less digits than its factorization.

1983136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2168 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 1983136 is about 1408.2386161443. The cubic root of 1983136 is about 125.6369831725.

The spelling of 1983136 in words is "one million, nine hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 2137 4274 8548 17096 34192 61973 68384 123946 247892 495784 991568 1983136