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2041041132 = 22331310913337
BaseRepresentation
bin111100110100111…
…1101000011101100
312021020120122002000
41321221331003230
513140001304012
6534310332300
7101402364144
oct17151750354
95236518060
102041041132
11958129459
1248b65a090
13266b16a60
141550dd924
15be2bcddc
hex79a7d0ec

2041041132 has 96 divisors (see below), whose sum is σ = 5751345600. Its totient is φ = 622204416.

The previous prime is 2041041127. The next prime is 2041041133. The reversal of 2041041132 is 2311401402.

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

It is not an unprimeable number, because it can be changed into a prime (2041041133) 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, 146368 + ... + 159704.

It is an arithmetic number, because the mean of its divisors is an integer number (59909850).

Almost surely, 22041041132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041041132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875672800).

2041041132 is an abundant number, since it is smaller than the sum of its proper divisors (3710304468).

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

2041041132 is a wasteful number, since it uses less digits than its factorization.

2041041132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 13464 counting only the distinct ones).

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

The square root of 2041041132 is about 45177.8832173443. The cubic root of 2041041132 is about 1268.4808611514.

Adding to 2041041132 its reverse (2311401402), we get a palindrome (4352442534).

The spelling of 2041041132 in words is "two billion, forty-one million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 109 117 156 218 234 327 351 436 468 654 702 981 1308 1404 1417 1962 2834 2943 3924 4251 5668 5886 8502 11772 12753 13337 17004 25506 26674 38259 40011 51012 53348 76518 80022 120033 153036 160044 173381 240066 346762 360099 480132 520143 693524 720198 1040286 1440396 1453733 1560429 2080572 2907466 3120858 4361199 4681287 5814932 6241716 8722398 9362574 13083597 17444796 18725148 18898529 26167194 37797058 39250791 52334388 56695587 75594116 78501582 113391174 157003164 170086761 226782348 340173522 510260283 680347044 1020520566 2041041132