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1022465040 = 24354260271
BaseRepresentation
bin111100111100011…
…001010000010000
32122020221121100120
4330330121100100
54043222340130
6245242550240
734223544432
oct7474312020
92566847316
101022465040
11485178133
12246508380
13133aa45cc
1499b18652
155eb6c910
hex3cf19410

1022465040 has 40 divisors (see below), whose sum is σ = 3169642368. Its totient is φ = 272657280.

The previous prime is 1022465027. The next prime is 1022465047. The reversal of 1022465040 is 405642201.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1022465040.

It is not an unprimeable number, because it can be changed into a prime (1022465047) 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, 2129896 + ... + 2130375.

Almost surely, 21022465040 is an apocalyptic number.

1022465040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022465040 is an abundant number, since it is smaller than the sum of its proper divisors (2147177328).

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

1022465040 is a wasteful number, since it uses less digits than its factorization.

1022465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260287 (or 4260281 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1022465040 is about 31976.0072554408. The cubic root of 1022465040 is about 1007.4329608717.

The spelling of 1022465040 in words is "one billion, twenty-two million, four hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4260271 8520542 12780813 17041084 21301355 25561626 34082168 42602710 51123252 63904065 68164336 85205420 102246504 127808130 170410840 204493008 255616260 340821680 511232520 1022465040