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1010414540 = 2251271991999
BaseRepresentation
bin111100001110011…
…011001111001100
32121102021101011202
4330032123033030
54032131231130
6244132405032
734016244662
oct7416331714
92542241152
101010414540
11479397443
12242476778
13131445635
149829cc32
155da8c145
hex3c39b3cc

1010414540 has 48 divisors (see below), whose sum is σ = 2150400000. Its totient is φ = 398768832.

The previous prime is 1010414539. The next prime is 1010414543. The reversal of 1010414540 is 454140101.

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

It is not an unprimeable number, because it can be changed into a prime (1010414543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504461 + ... + 506459.

It is an arithmetic number, because the mean of its divisors is an integer number (44800000).

Almost surely, 21010414540 is an apocalyptic number.

1010414540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010414540 is an abundant number, since it is smaller than the sum of its proper divisors (1139985460).

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

1010414540 is a wasteful number, since it uses less digits than its factorization.

1010414540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1010414540 is about 31787.0184194743. The cubic root of 1010414540 is about 1003.4595311757.

Adding to 1010414540 its reverse (454140101), we get a palindrome (1464554641).

The spelling of 1010414540 in words is "one billion, ten million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 127 199 254 398 508 635 796 995 1270 1990 1999 2540 3980 3998 7996 9995 19990 25273 39980 50546 101092 126365 252730 253873 397801 505460 507746 795602 1015492 1269365 1591204 1989005 2538730 3978010 5077460 7956020 50520727 101041454 202082908 252603635 505207270 1010414540