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41121520 = 2451183563
BaseRepresentation
bin1001110011011…
…1011011110000
32212101012010021
42130313123300
541011342040
64025213224
71006345546
oct234673360
985335107
1041121520
1121237230
1211931214
13869a17b
145665d96
15392424a
hex27376f0

41121520 has 80 divisors (see below), whose sum is σ = 105743232. Its totient is φ = 14746880.

The previous prime is 41121511. The next prime is 41121527. The reversal of 41121520 is 2512114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×411215202 = 3381958814220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41121494 and 41121503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41121527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72759 + ... + 73321.

Almost surely, 241121520 is an apocalyptic number.

41121520 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 41121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52871616).

41121520 is an abundant number, since it is smaller than the sum of its proper divisors (64621712).

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

41121520 is a wasteful number, since it uses less digits than its factorization.

41121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 41121520 is about 6412.6063344010. The cubic root of 41121520 is about 345.1620606675.

Adding to 41121520 its reverse (2512114), we get a palindrome (43633634).

The spelling of 41121520 in words is "forty-one million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 563 664 830 880 913 1126 1328 1660 1826 2252 2815 3320 3652 4504 4565 5630 6193 6640 7304 9008 9130 11260 12386 14608 18260 22520 24772 30965 36520 45040 46729 49544 61930 73040 93458 99088 123860 186916 233645 247720 373832 467290 495440 514019 747664 934580 1028038 1869160 2056076 2570095 3738320 4112152 5140190 8224304 10280380 20560760 41121520