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41019132 = 223711103431
BaseRepresentation
bin1001110001111…
…0011011111100
32212011222200010
42130132123330
541000103012
64023103220
71005441210
oct234363374
985158603
1041019132
1121177310
12118a1b10
13866269b
14563a940
153903c3c
hex271e6fc

41019132 has 96 divisors (see below), whose sum is σ = 120766464. Its totient is φ = 10526400.

The previous prime is 41019089. The next prime is 41019133. The reversal of 41019132 is 23191014.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 41019099 and 41019108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41019133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94957 + ... + 95387.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 241019132 is an apocalyptic number.

41019132 is a gapful number since it is divisible by the number (42) 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 41019132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

41019132 is an abundant number, since it is smaller than the sum of its proper divisors (79747332).

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

41019132 is a wasteful number, since it uses less digits than its factorization.

41019132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 41019132 is about 6404.6180213967. The cubic root of 41019132 is about 344.8753508947.

Adding to 41019132 its sum of digits (21), we get a triangular number (41019153 = T9057).

The spelling of 41019132 in words is "forty-one million, nineteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 103 132 154 206 231 308 309 412 431 462 618 721 862 924 1133 1236 1293 1442 1724 2163 2266 2586 2884 3017 3399 4326 4532 4741 5172 6034 6798 7931 8652 9051 9482 12068 13596 14223 15862 18102 18964 23793 28446 31724 33187 36204 44393 47586 56892 66374 88786 95172 99561 132748 133179 177572 199122 266358 310751 398244 488323 532716 621502 932253 976646 1243004 1464969 1864506 1953292 2929938 3418261 3729012 5859876 6836522 10254783 13673044 20509566 41019132