Search a number
-
+
13031040 = 273511617
BaseRepresentation
bin110001101101…
…011010000000
3220112001020010
4301231122000
511313443130
61143144520
7215522241
oct61553200
926461203
1013031040
1173a0460
124445140
132913399
141a32cc8
1512260b0
hexc6d680

13031040 has 128 divisors (see below), whose sum is σ = 45385920. Its totient is φ = 3153920.

The previous prime is 13031033. The next prime is 13031099. The reversal of 13031040 is 4013031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20812 + ... + 21428.

Almost surely, 213031040 is an apocalyptic number.

13031040 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 13031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22692960).

13031040 is an abundant number, since it is smaller than the sum of its proper divisors (32354880).

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

13031040 is a wasteful number, since it uses less digits than its factorization.

13031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13031040 is about 3609.8531826101. The cubic root of 13031040 is about 235.3204621483.

Adding to 13031040 its reverse (4013031), we get a palindrome (17044071).

Subtracting from 13031040 its reverse (4013031), we obtain a square (9018009 = 30032).

The spelling of 13031040 in words is "thirteen million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 617 640 660 704 880 960 1056 1234 1320 1408 1760 1851 1920 2112 2468 2640 3085 3520 3702 4224 4936 5280 6170 6787 7040 7404 9255 9872 10560 12340 13574 14808 18510 19744 20361 21120 24680 27148 29616 33935 37020 39488 40722 49360 54296 59232 67870 74040 78976 81444 98720 101805 108592 118464 135740 148080 162888 197440 203610 217184 236928 271480 296160 325776 394880 407220 434368 542960 592320 651552 814440 868736 1085920 1184640 1303104 1628880 2171840 2606208 3257760 4343680 6515520 13031040