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1087488 = 2113259
BaseRepresentation
bin100001001100000000000
32001020202100
410021200000
5234244423
635150400
712146343
oct4114000
92036670
101087488
11683056
12445400
132c0cac
1420445a
15167343
hex109800

1087488 has 72 divisors (see below), whose sum is σ = 3194100. Its totient is φ = 356352.

The previous prime is 1087487. The next prime is 1087517. The reversal of 1087488 is 8847801.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087483) 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, 18403 + ... + 18461.

21087488 is an apocalyptic number.

1087488 is a gapful number since it is divisible by the number (18) 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 1087488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597050).

1087488 is an abundant number, since it is smaller than the sum of its proper divisors (2106612).

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

1087488 is an equidigital number, since it uses as much as digits as its factorization.

1087488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1087488 is about 1042.8269271552. The cubic root of 1087488 is about 102.8351275634.

The spelling of 1087488 in words is "one million, eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1024 1062 1152 1416 1536 1888 2048 2124 2304 2832 3072 3776 4248 4608 5664 6144 7552 8496 9216 11328 15104 16992 18432 22656 30208 33984 45312 60416 67968 90624 120832 135936 181248 271872 362496 543744 1087488