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1020363064 = 23724163487
BaseRepresentation
bin111100110100011…
…000000100111000
32122002222210222121
4330310120010320
54042203104224
6245125531024
734166641300
oct7464300470
92562883877
101020363064
11483a71966
12245873a74
13133519936
149972c600
155e8a4be4
hex3cd18138

1020363064 has 48 divisors (see below), whose sum is σ = 2279854080. Its totient is φ = 426625920.

The previous prime is 1020363059. The next prime is 1020363067. The reversal of 1020363064 is 4603630201.

It is a super-2 number, since 2×10203630642 = 2082281564750936192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020363067) 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 11 ways as a sum of consecutive naturals, for example, 15672 + ... + 47815.

It is an arithmetic number, because the mean of its divisors is an integer number (47496960).

Almost surely, 21020363064 is an apocalyptic number.

1020363064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020363064 is an abundant number, since it is smaller than the sum of its proper divisors (1259491016).

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

1020363064 is a wasteful number, since it uses less digits than its factorization.

1020363064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63548 (or 63537 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 1020363064 is about 31943.1223270362. The cubic root of 1020363064 is about 1006.7421295319.

Adding to 1020363064 its reverse (4603630201), we get a palindrome (5623993265).

The spelling of 1020363064 in words is "one billion, twenty million, three hundred sixty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 16072 63487 126974 253948 444409 507896 888818 1777636 2602967 3110863 3555272 5205934 6221726 10411868 12443452 18220769 20823736 24886904 36441538 72883076 127545383 145766152 255090766 510181532 1020363064