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1129056 = 25319619
BaseRepresentation
bin100010011101001100000
32010100202220
410103221200
5242112211
640111040
712411465
oct4235140
92110686
101129056
11701305
12465480
13306ba6
1421566c
15174806
hex113a60

1129056 has 48 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 355968.

The previous prime is 1129043. The next prime is 1129103. The reversal of 1129056 is 6509211.

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

It is a super-2 number, since 2×11290562 = 2549534902272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515 + ... + 2133.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

21129056 is an apocalyptic number.

1129056 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 1129056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1129056 is an abundant number, since it is smaller than the sum of its proper divisors (1995744).

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

1129056 is a wasteful number, since it uses less digits than its factorization.

1129056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1129056 is about 1062.5704682514. The cubic root of 1129056 is about 104.1290311683.

The spelling of 1129056 in words is "one million, one hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 619 912 1238 1824 1857 2476 3714 4952 7428 9904 11761 14856 19808 23522 29712 35283 47044 59424 70566 94088 141132 188176 282264 376352 564528 1129056