Search a number
-
+
1029060 = 223255717
BaseRepresentation
bin11111011001111000100
31221021121100
43323033010
5230412220
634020100
711514114
oct3731704
91837540
101029060
1164316a
12417630
132a0516
141cb044
15154d90
hexfb3c4

1029060 has 36 divisors (see below), whose sum is σ = 3122028. Its totient is φ = 274368.

The previous prime is 1029037. The next prime is 1029103. The reversal of 1029060 is 609201.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 544644 = 696^2 + 738^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2679 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (86723).

21029060 is an apocalyptic number.

1029060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029060 is an abundant number, since it is smaller than the sum of its proper divisors (2092968).

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

1029060 is a wasteful number, since it uses less digits than its factorization.

1029060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1029060 is about 1014.4259460404. The cubic root of 1029060 is about 100.9594321277.

It can be divided in two parts, 102 and 9060, that multiplied together give a triangular number (924120 = T1359).

The spelling of 1029060 in words is "one million, twenty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5717 11434 17151 22868 28585 34302 51453 57170 68604 85755 102906 114340 171510 205812 257265 343020 514530 1029060