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40541520 = 2435251673
BaseRepresentation
bin1001101010100…
…1110101010000
32211021201111210
42122221311100
540334312040
64004540120
71001411565
oct232516520
984251453
1040541520
1120980498
12116b1640
138526186
14555486c
15385c480
hex26a9d50

40541520 has 80 divisors (see below), whose sum is σ = 126366912. Its totient is φ = 10752000.

The previous prime is 40541513. The next prime is 40541539. The reversal of 40541520 is 2514504.

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

It is a super-2 number, since 2×405415202 = 3287229687820800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59904 + ... + 60576.

Almost surely, 240541520 is an apocalyptic number.

40541520 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 40541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63183456).

40541520 is an abundant number, since it is smaller than the sum of its proper divisors (85825392).

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

40541520 is a wasteful number, since it uses less digits than its factorization.

40541520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 40541520 is about 6367.2223143220. Note that the first 3 decimals coincide. The cubic root of 40541520 is about 343.5315870938.

The spelling of 40541520 in words is "forty million, five hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 502 673 753 1004 1255 1346 1506 2008 2019 2510 2692 3012 3365 3765 4016 4038 5020 5384 6024 6730 7530 8076 10040 10095 10768 12048 13460 15060 16152 20080 20190 26920 30120 32304 40380 53840 60240 80760 161520 168923 337846 506769 675692 844615 1013538 1351384 1689230 2027076 2533845 2702768 3378460 4054152 5067690 6756920 8108304 10135380 13513840 20270760 40541520