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1055768 = 237171109
BaseRepresentation
bin100000001110000011000
31222122020112
410001300120
5232241033
634343452
711655020
oct4016030
91878215
101055768
1166123a
1242ab88
132ac71c
141d6a80
1515cc48
hex101c18

1055768 has 32 divisors (see below), whose sum is σ = 2397600. Its totient is φ = 425472.

The previous prime is 1055741. The next prime is 1055771. The reversal of 1055768 is 8675501.

It is a super-2 number, since 2×10557682 = 2229292139648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 398 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (74925).

21055768 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 1055768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198800).

1055768 is an abundant number, since it is smaller than the sum of its proper divisors (1341832).

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

1055768 is a wasteful number, since it uses less digits than its factorization.

1055768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 1055768 is about 1027.5057177456. The cubic root of 1055768 is about 101.8254093895.

The spelling of 1055768 in words is "one million, fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1109 2218 4436 7763 8872 15526 18853 31052 37706 62104 75412 131971 150824 263942 527884 1055768