[go: up one dir, main page]

Search a number
-
+
16241040 = 2433573103
BaseRepresentation
bin111101111101…
…000110010000
31010120010112000
4331331012100
513124203130
61340034000
7255021654
oct75750620
933503460
1016241040
119193152
125532900
1334984aa
14222aa64
15165c260
hexf7d190

16241040 has 160 divisors (see below), whose sum is σ = 57258240. Its totient is φ = 4230144.

The previous prime is 16241023. The next prime is 16241051. The reversal of 16241040 is 4014261.

16241040 is a `hidden beast` number, since 1 + 624 + 1 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157629 + ... + 157731.

It is an arithmetic number, because the mean of its divisors is an integer number (357864).

Almost surely, 216241040 is an apocalyptic number.

16241040 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 16241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28629120).

16241040 is an abundant number, since it is smaller than the sum of its proper divisors (41017200).

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

16241040 is a wasteful number, since it uses less digits than its factorization.

16241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 16241040 is about 4030.0173696896. The cubic root of 16241040 is about 253.2432890205.

The spelling of 16241040 in words is "sixteen million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 73 80 90 103 108 120 135 144 146 180 206 216 219 240 270 292 309 360 365 412 432 438 515 540 584 618 657 720 730 824 876 927 1030 1080 1095 1168 1236 1314 1460 1545 1648 1752 1854 1971 2060 2160 2190 2472 2628 2781 2920 3090 3285 3504 3708 3942 4120 4380 4635 4944 5256 5562 5840 6180 6570 7416 7519 7884 8240 8760 9270 9855 10512 11124 12360 13140 13905 14832 15038 15768 17520 18540 19710 22248 22557 24720 26280 27810 30076 31536 37080 37595 39420 44496 45114 52560 55620 60152 67671 74160 75190 78840 90228 111240 112785 120304 135342 150380 157680 180456 203013 222480 225570 270684 300760 338355 360912 406026 451140 541368 601520 676710 812052 902280 1015065 1082736 1353420 1624104 1804560 2030130 2706840 3248208 4060260 5413680 8120520 16241040