[go: up one dir, main page]

Search a number
-
+
11673480 = 23357131069
BaseRepresentation
bin101100100001…
…111110001000
3210222002000010
4230201332020
510442022410
61054111520
7201136320
oct54417610
923862003
1011673480
116653505
123aab5a0
1325594b0
14179c280
151058c20
hexb21f88

11673480 has 128 divisors (see below), whose sum is σ = 43142400. Its totient is φ = 2460672.

The previous prime is 11673469. The next prime is 11673481. The reversal of 11673480 is 8437611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11673481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10386 + ... + 11454.

It is an arithmetic number, because the mean of its divisors is an integer number (337050).

Almost surely, 211673480 is an apocalyptic number.

11673480 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 11673480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21571200).

11673480 is an abundant number, since it is smaller than the sum of its proper divisors (31468920).

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

11673480 is a wasteful number, since it uses less digits than its factorization.

11673480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 11673480 is about 3416.6474796209. The cubic root of 11673480 is about 226.8472129376.

The spelling of 11673480 in words is "eleven million, six hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1069 1092 1365 1560 1820 2138 2184 2730 3207 3640 4276 5345 5460 6414 7483 8552 10690 10920 12828 13897 14966 16035 21380 22449 25656 27794 29932 32070 37415 41691 42760 44898 55588 59864 64140 69485 74830 83382 89796 97279 111176 112245 128280 138970 149660 166764 179592 194558 208455 224490 277940 291837 299320 333528 389116 416910 448980 486395 555880 583674 778232 833820 897960 972790 1167348 1459185 1667640 1945580 2334696 2918370 3891160 5836740 11673480