Search a number
-
+
1054992 = 24331709
BaseRepresentation
bin100000001100100010000
31222121011210
410001210100
5232224432
634340120
711652531
oct4014420
91877153
101054992
116606a4
1242a640
132ac273
141d6688
1515c8cc
hex101910

1054992 has 40 divisors (see below), whose sum is σ = 2817280. Its totient is φ = 339840.

The previous prime is 1054957. The next prime is 1054993. The reversal of 1054992 is 2994501.

It is a happy number.

It is a super-2 number, since 2×10549922 = 2226016240128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (70432).

21054992 is an apocalyptic number.

1054992 is a gapful number since it is divisible by the number (12) 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 1054992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408640).

1054992 is an abundant number, since it is smaller than the sum of its proper divisors (1762288).

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

1054992 is a wasteful number, since it uses less digits than its factorization.

1054992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1054992 is about 1027.1280348623. The cubic root of 1054992 is about 101.8004557113.

It can be divided in two parts, 105499 and 2, that added together give a palindrome (105501).

The spelling of 1054992 in words is "one million, fifty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 709 744 1418 1488 2127 2836 4254 5672 8508 11344 17016 21979 34032 43958 65937 87916 131874 175832 263748 351664 527496 1054992