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1056992 = 25172967
BaseRepresentation
bin100000010000011100000
31222200220212
410002003200
5232310432
634353252
711661416
oct4020340
91880825
101056992
11662152
1242b828
132b0151
141d72b6
1515d2b2
hex1020e0

1056992 has 48 divisors (see below), whose sum is σ = 2313360. Its totient is φ = 473088.

The previous prime is 1056971. The next prime is 1057003. The reversal of 1056992 is 2996501.

It is a super-2 number, since 2×10569922 = 2234464176128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 15743 + ... + 15809.

It is an arithmetic number, because the mean of its divisors is an integer number (48195).

21056992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156680).

1056992 is an abundant number, since it is smaller than the sum of its proper divisors (1256368).

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

1056992 is a wasteful number, since it uses less digits than its factorization.

1056992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 1056992 is about 1028.1011623376. The cubic root of 1056992 is about 101.8647444730.

It can be divided in two parts, 1056 and 992, that added together give a 11-th power (2048 = 211).

The spelling of 1056992 in words is "one million, fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 67 68 116 134 136 232 268 272 464 493 536 544 928 986 1072 1139 1943 1972 2144 2278 3886 3944 4556 7772 7888 9112 15544 15776 18224 31088 33031 36448 62176 66062 132124 264248 528496 1056992