Search a number
-
+
1057152 = 2732753
BaseRepresentation
bin100000010000110000000
31222201010210
410002012000
5232312102
634354120
711662035
oct4020600
91881123
101057152
11662288
1242b940
132b0245
141d738c
1515d36c
hex102180

1057152 has 32 divisors (see below), whose sum is σ = 2809080. Its totient is φ = 352256.

The previous prime is 1057129. The next prime is 1057157. The reversal of 1057152 is 2517501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10571522 = 2235140702208, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 993 + ... + 1760.

21057152 is an apocalyptic number.

1057152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057152 is an abundant number, since it is smaller than the sum of its proper divisors (1751928).

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

1057152 is an equidigital number, since it uses as much as digits as its factorization.

1057152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1057152 is about 1028.1789727474. The cubic root of 1057152 is about 101.8698840694.

The spelling of 1057152 in words is "one million, fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2753 5506 8259 11012 16518 22024 33036 44048 66072 88096 132144 176192 264288 352384 528576 1057152