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1055832 = 233293741
BaseRepresentation
bin100000001110001011000
31222122022220
410001301120
5232241312
634344040
711655141
oct4016130
91878286
101055832
11661298
1242b020
132ac76b
141d6ac8
1515cc8c
hex101c58

1055832 has 64 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 322560.

The previous prime is 1055827. The next prime is 1055839. The reversal of 1055832 is 2385501.

It is a super-2 number, since 2×10558322 = 2229562424448, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 1 + 0 + 5 + 54 + 82 + 38 + 220 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25732 + ... + 25772.

21055832 is an apocalyptic number.

1055832 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 1055832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

1055832 is an abundant number, since it is smaller than the sum of its proper divisors (1816968).

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

1055832 is a wasteful number, since it uses less digits than its factorization.

1055832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1055832 is about 1027.5368606527. The cubic root of 1055832 is about 101.8274668790.

The spelling of 1055832 in words is "one million, fifty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 37 41 58 74 82 87 111 116 123 148 164 174 222 232 246 296 328 348 444 492 696 888 984 1073 1189 1517 2146 2378 3034 3219 3567 4292 4551 4756 6068 6438 7134 8584 9102 9512 12136 12876 14268 18204 25752 28536 36408 43993 87986 131979 175972 263958 351944 527916 1055832