Search a number
-
+
16271040 = 263517997
BaseRepresentation
bin111110000100…
…011011000000
31010121122200010
4332010123000
513131133130
61340424520
7255205302
oct76043300
933548603
1016271040
119203745
125548140
1334a9046
142237972
1516660b0
hexf846c0

16271040 has 112 divisors (see below), whose sum is σ = 54754272. Its totient is φ = 4079616.

The previous prime is 16271033. The next prime is 16271107. The reversal of 16271040 is 4017261.

It is a junction number, because it is equal to n+sod(n) for n = 16270998 and 16271016.

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, 15822 + ... + 16818.

Almost surely, 216271040 is an apocalyptic number.

16271040 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 16271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27377136).

16271040 is an abundant number, since it is smaller than the sum of its proper divisors (38483232).

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

16271040 is a wasteful number, since it uses less digits than its factorization.

16271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 16271040 is about 4033.7377207746. The cubic root of 16271040 is about 253.3991211106.

The spelling of 16271040 in words is "sixteen million, two hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 997 1020 1088 1360 1632 1994 2040 2720 2991 3264 3988 4080 4985 5440 5982 7976 8160 9970 11964 14955 15952 16320 16949 19940 23928 29910 31904 33898 39880 47856 50847 59820 63808 67796 79760 84745 95712 101694 119640 135592 159520 169490 191424 203388 239280 254235 271184 319040 338980 406776 478560 508470 542368 677960 813552 957120 1016940 1084736 1355920 1627104 2033880 2711840 3254208 4067760 5423680 8135520 16271040