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1020601536 = 26311347041
BaseRepresentation
bin111100110101010…
…010010011000000
32122010102221002220
4330311102103000
54042233222121
6245135011040
734201653453
oct7465222300
92563387086
101020601536
11484115049
12245969a80
131335a1346
149979149a
155e9006c6
hex3cd524c0

1020601536 has 56 divisors (see below), whose sum is σ = 2724296304. Its totient is φ = 337182720.

The previous prime is 1020601531. The next prime is 1020601567. The reversal of 1020601536 is 6351060201.

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

It is not an unprimeable number, because it can be changed into a prime (1020601531) 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, 1825 + ... + 45216.

Almost surely, 21020601536 is an apocalyptic number.

1020601536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020601536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362148152).

1020601536 is an abundant number, since it is smaller than the sum of its proper divisors (1703694768).

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

1020601536 is a wasteful number, since it uses less digits than its factorization.

1020601536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47169 (or 47159 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1020601536 is about 31946.8548686721. The cubic root of 1020601536 is about 1006.8205529601.

Adding to 1020601536 its reverse (6351060201), we get a palindrome (7371661737).

The spelling of 1020601536 in words is "one billion, twenty million, six hundred one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 5424 7232 10848 21696 47041 94082 141123 188164 282246 376328 564492 752656 1128984 1505312 2257968 3010624 4515936 5315633 9031872 10631266 15946899 21262532 31893798 42525064 63787596 85050128 127575192 170100256 255150384 340200512 510300768 1020601536