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1987296 = 253127163
BaseRepresentation
bin111100101001011100000
310201222001120
413211023200
51002043141
6110332240
722614603
oct7451340
93658046
101987296
1111380a3
127ba080
1354771c
1439a33a
15293c66
hex1e52e0

1987296 has 48 divisors (see below), whose sum is σ = 5289984. Its totient is φ = 653184.

The previous prime is 1987291. The next prime is 1987303. The reversal of 1987296 is 6927891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12111 + ... + 12273.

It is an arithmetic number, because the mean of its divisors is an integer number (110208).

21987296 is an apocalyptic number.

1987296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1987296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644992).

1987296 is an abundant number, since it is smaller than the sum of its proper divisors (3302688).

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

1987296 is a wasteful number, since it uses less digits than its factorization.

1987296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 295 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 1987296 is about 1409.7148647865. The cubic root of 1987296 is about 125.7247708689.

The spelling of 1987296 in words is "one million, nine hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 163 254 326 381 489 508 652 762 978 1016 1304 1524 1956 2032 2608 3048 3912 4064 5216 6096 7824 12192 15648 20701 41402 62103 82804 124206 165608 248412 331216 496824 662432 993648 1987296