Search a number
-
+
41631120 = 2432567863
BaseRepresentation
bin1001111011001…
…1110110010000
32220100002011100
42132303312100
541124143440
64044144400
71013600346
oct236636620
986302140
1041631120
1121555093
1211b38100
1388180cb
145759996
1539c5230
hex27b3d90

41631120 has 120 divisors (see below), whose sum is σ = 142062336. Its totient is φ = 10923264.

The previous prime is 41631103. The next prime is 41631131. The reversal of 41631120 is 2113614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 41631093 and 41631102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47809 + ... + 48671.

Almost surely, 241631120 is an apocalyptic number.

41631120 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 41631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168).

41631120 is an abundant number, since it is smaller than the sum of its proper divisors (100431216).

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

41631120 is a wasteful number, since it uses less digits than its factorization.

41631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41631120 is about 6452.2182232160. The cubic root of 41631120 is about 346.5820223982.

Adding to 41631120 its reverse (2113614), we get a palindrome (43744734).

The spelling of 41631120 in words is "forty-one million, six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 863 1005 1072 1206 1340 1608 1726 2010 2412 2589 2680 3015 3216 3452 4020 4315 4824 5178 5360 6030 6904 7767 8040 8630 9648 10356 12060 12945 13808 15534 16080 17260 20712 24120 25890 31068 34520 38835 41424 48240 51780 57821 62136 69040 77670 103560 115642 124272 155340 173463 207120 231284 289105 310680 346926 462568 520389 578210 621360 693852 867315 925136 1040778 1156420 1387704 1734630 2081556 2312840 2601945 2775408 3469260 4163112 4625680 5203890 6938520 8326224 10407780 13877040 20815560 41631120