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41132124 = 2235113847
BaseRepresentation
bin1001110011101…
…0000001011100
32212101201200000
42130322001130
541012211444
64025334300
71006421505
oct234720134
985351600
1041132124
11212441a0
1211937390
1386a1c47
145669bac
153927469
hex273a05c

41132124 has 72 divisors (see below), whose sum is σ = 117656448. Its totient is φ = 12461040.

The previous prime is 41132111. The next prime is 41132137. The reversal of 41132124 is 42123114.

It is an interprime number because it is at equal distance from previous prime (41132111) and next prime (41132137).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41132097 and 41132106.

It is a congruent number.

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, 8769 + ... + 12615.

Almost surely, 241132124 is an apocalyptic number.

41132124 is a gapful number since it is divisible by the number (44) 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 41132124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58828224).

41132124 is an abundant number, since it is smaller than the sum of its proper divisors (76524324).

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

41132124 is a wasteful number, since it uses less digits than its factorization.

41132124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3863 counting only the distinct ones).

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

The square root of 41132124 is about 6413.4330900073. The cubic root of 41132124 is about 345.1917270800.

Adding to 41132124 its reverse (42123114), we get a palindrome (83255238).

The spelling of 41132124 in words is "forty-one million, one hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 3847 5346 7694 10692 11541 15388 23082 34623 42317 46164 69246 84634 103869 126951 138492 169268 207738 253902 311607 380853 415476 507804 623214 761706 934821 1142559 1246428 1523412 1869642 2285118 3427677 3739284 4570236 6855354 10283031 13710708 20566062 41132124