Search a number
-
+
1055240 = 235233137
BaseRepresentation
bin100000001101000001000
31222121111222
410001220020
5232231430
634341212
711653334
oct4015010
91877458
101055240
116608aa
1242a808
132ac404
141d67c4
1515c9e5
hex101a08

1055240 has 64 divisors (see below), whose sum is σ = 2626560. Its totient is φ = 380160.

The previous prime is 1055233. The next prime is 1055251. The reversal of 1055240 is 425501.

1055240 = T1 + T2 + ... + T184.

1055240 is a nontrivial binomial coefficient, being equal to C(186, 3).

It is a super-2 number, since 2×10552402 = 2227062915200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is the 184-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28502 + ... + 28538.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

21055240 is an apocalyptic number.

1055240 is a gapful number since it is divisible by the number (10) 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 1055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280).

1055240 is an abundant number, since it is smaller than the sum of its proper divisors (1571320).

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

1055240 is a wasteful number, since it uses less digits than its factorization.

1055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 1055240 is about 1027.2487527371. The cubic root of 1055240 is about 101.8084319282.

The spelling of 1055240 in words is "one million, fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 37 40 46 62 74 92 115 124 148 155 184 185 230 248 296 310 370 460 620 713 740 851 920 1147 1240 1426 1480 1702 2294 2852 3404 3565 4255 4588 5704 5735 6808 7130 8510 9176 11470 14260 17020 22940 26381 28520 34040 45880 52762 105524 131905 211048 263810 527620 1055240