Search a number
-
+
41022720 = 283351187
BaseRepresentation
bin1001110001111…
…1010100000000
32212012011121000
42130133110000
541000211340
64023132000
71005454524
oct234372400
985164530
1041022720
1121179a82
12118a4000
1386641cb
14563bd84
153904d30
hex271f500

41022720 has 144 divisors (see below), whose sum is σ = 145696320. Its totient is φ = 10930176.

The previous prime is 41022713. The next prime is 41022721. The reversal of 41022720 is 2722014.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 41022693 and 41022702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41022721) 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 15 ways as a sum of consecutive naturals, for example, 33967 + ... + 35153.

It is an arithmetic number, because the mean of its divisors is an integer number (1011780).

Almost surely, 241022720 is an apocalyptic number.

41022720 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 41022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72848160).

41022720 is an abundant number, since it is smaller than the sum of its proper divisors (104673600).

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

41022720 is a wasteful number, since it uses less digits than its factorization.

41022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 41022720 is about 6404.8981256535. The cubic root of 41022720 is about 344.8854061756.

Adding to 41022720 its reverse (2722014), we get a palindrome (43744734).

The spelling of 41022720 in words is "forty-one million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1187 1280 1440 1728 1920 2160 2304 2374 2880 3456 3561 3840 4320 4748 5760 5935 6912 7122 8640 9496 10683 11520 11870 14244 17280 17805 18992 21366 23740 28488 32049 34560 35610 37984 42732 47480 53415 56976 64098 71220 75968 85464 94960 106830 113952 128196 142440 151936 160245 170928 189920 213660 227904 256392 284880 303872 320490 341856 379840 427320 455808 512784 569760 640980 683712 759680 854640 911616 1025568 1139520 1281960 1367424 1519360 1709280 2051136 2279040 2563920 2734848 3418560 4102272 4558080 5127840 6837120 8204544 10255680 13674240 20511360 41022720