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412653040 = 24549910337
BaseRepresentation
bin11000100110001…
…001010111110000
31001202110221112221
4120212021113300
51321114344130
6104540330424
713140331042
oct3046112760
91052427487
10412653040
111a1a28378
12b6243a14
13676518c7
143cb39a92
152636287a
hex189895f0

412653040 has 40 divisors (see below), whose sum is σ = 961434000. Its totient is φ = 164714496.

The previous prime is 412653037. The next prime is 412653047. The reversal of 412653040 is 40356214.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 412652996 and 412653014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412653047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34752 + ... + 45088.

It is an arithmetic number, because the mean of its divisors is an integer number (24035850).

Almost surely, 2412653040 is an apocalyptic number.

412653040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412653040 is an abundant number, since it is smaller than the sum of its proper divisors (548780960).

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

412653040 is a wasteful number, since it uses less digits than its factorization.

412653040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 412653040 is about 20313.8632465614. The cubic root of 412653040 is about 744.4948244083.

The spelling of 412653040 in words is "four hundred twelve million, six hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 499 998 1996 2495 3992 4990 7984 9980 10337 19960 20674 39920 41348 51685 82696 103370 165392 206740 413480 826960 5158163 10316326 20632652 25790815 41265304 51581630 82530608 103163260 206326520 412653040