Search a number
-
+
41161920 = 263553809
BaseRepresentation
bin1001110100000…
…1010011000000
32212110020112120
42131001103000
541014140140
64030124240
71006604412
oct235012300
985406476
1041161920
1121264618
1211950680
1386b2687
1456769b2
1539311d0
hex27414c0

41161920 has 112 divisors (see below), whose sum is σ = 133319520. Its totient is φ = 10756096.

The previous prime is 41161859. The next prime is 41161943. The reversal of 41161920 is 2916114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 50476 + ... + 51284.

Almost surely, 241161920 is an apocalyptic number.

41161920 is a gapful number since it is divisible by the number (40) 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 41161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66659760).

41161920 is an abundant number, since it is smaller than the sum of its proper divisors (92157600).

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

41161920 is a wasteful number, since it uses less digits than its factorization.

41161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 41161920 is about 6415.7556063179. The cubic root of 41161920 is about 345.2750589477.

The spelling of 41161920 in words is "forty-one million, one hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 318 320 424 480 530 636 795 809 848 960 1060 1272 1590 1618 1696 2120 2427 2544 3180 3236 3392 4045 4240 4854 5088 6360 6472 8090 8480 9708 10176 12135 12720 12944 16180 16960 19416 24270 25440 25888 32360 38832 42877 48540 50880 51776 64720 77664 85754 97080 128631 129440 155328 171508 194160 214385 257262 258880 343016 388320 428770 514524 643155 686032 776640 857540 1029048 1286310 1372064 1715080 2058096 2572620 2744128 3430160 4116192 5145240 6860320 8232384 10290480 13720640 20580960 41161920