[go: up one dir, main page]

Search a number
-
+
1049040 = 243253147
BaseRepresentation
bin100000000000111010000
31222022000100
410000013100
5232032130
634252400
711626266
oct4000720
91868010
101049040
11657183
12427100
132a9645
141d4436
1515ac60
hex1001d0

1049040 has 120 divisors (see below), whose sum is σ = 3714048. Its totient is φ = 264960.

The previous prime is 1049039. The next prime is 1049051. The reversal of 1049040 is 409401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10490402 = 2200969843200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 22297 + ... + 22343.

21049040 is an apocalyptic number.

1049040 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 1049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857024).

1049040 is an abundant number, since it is smaller than the sum of its proper divisors (2665008).

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

1049040 is a wasteful number, since it uses less digits than its factorization.

1049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1049040 is about 1024.2265374418. The cubic root of 1049040 is about 101.6086503474.

The spelling of 1049040 in words is "one million, forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 47 48 60 62 72 80 90 93 94 120 124 141 144 155 180 186 188 235 240 248 279 282 310 360 372 376 423 465 470 496 558 564 620 705 720 744 752 846 930 940 1116 1128 1240 1395 1410 1457 1488 1692 1860 1880 2115 2232 2256 2480 2790 2820 2914 3384 3720 3760 4230 4371 4464 5580 5640 5828 6768 7285 7440 8460 8742 11160 11280 11656 13113 14570 16920 17484 21855 22320 23312 26226 29140 33840 34968 43710 52452 58280 65565 69936 87420 104904 116560 131130 174840 209808 262260 349680 524520 1049040