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40461320 = 2355032011
BaseRepresentation
bin1001101001011…
…0010000001000
32211010122111102
42122112100020
540324230240
64003120532
71000626014
oct232262010
984118442
1040461320
1120926209
1211673148
1384c8813
145533544
153843815
hex2696408

40461320 has 32 divisors (see below), whose sum is σ = 91264320. Its totient is φ = 16144320.

The previous prime is 40461287. The next prime is 40461331. The reversal of 40461320 is 2316404.

It is a happy number.

It is a super-2 number, since 2×404613202 = 3274236832284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40461292 and 40461301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19115 + ... + 21125.

It is an arithmetic number, because the mean of its divisors is an integer number (2852010).

Almost surely, 240461320 is an apocalyptic number.

40461320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40461320 is an abundant number, since it is smaller than the sum of its proper divisors (50803000).

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

40461320 is a wasteful number, since it uses less digits than its factorization.

40461320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40461320 is about 6360.9213169163. The cubic root of 40461320 is about 343.3049106665.

40461320 divided by its sum of digits (20) gives a triangular number (2023066 = T2011).

Adding to 40461320 its reverse (2316404), we get a palindrome (42777724).

The spelling of 40461320 in words is "forty million, four hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 503 1006 2011 2012 2515 4022 4024 5030 8044 10055 10060 16088 20110 20120 40220 80440 1011533 2023066 4046132 5057665 8092264 10115330 20230660 40461320