Search a number
-
+
1055268 = 22343257
BaseRepresentation
bin100000001101000100100
31222121120000
410001220210
5232232033
634341300
711653404
oct4015044
91877500
101055268
11660925
1242a830
132ac426
141d6804
1515ca13
hex101a24

1055268 has 30 divisors (see below), whose sum is σ = 2759526. Its totient is φ = 351648.

The previous prime is 1055267. The next prime is 1055269. The reversal of 1055268 is 8625501.

It is an interprime number because it is at equal distance from previous prime (1055267) and next prime (1055269).

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 39204 = 1008^2 + 198^2 .

It is a super-2 number, since 2×10552682 = 2227181103648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1055261) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1305 + ... + 1952.

21055268 is an apocalyptic number.

1055268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1055268 is an abundant number, since it is smaller than the sum of its proper divisors (1704258).

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

1055268 is a wasteful number, since it uses less digits than its factorization.

1055268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1055268 is about 1027.2623812834. The cubic root of 1055268 is about 101.8093323903.

It can be divided in two parts, 10 and 55268, that added together give a triangular number (55278 = T332).

The spelling of 1055268 in words is "one million, fifty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3257 6514 9771 13028 19542 29313 39084 58626 87939 117252 175878 263817 351756 527634 1055268