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1002130536 = 233116475867
BaseRepresentation
bin111011101110110…
…100110001101000
32120211200111122210
4323232310301220
54023021134121
6243235045120
733555653241
oct7356646150
92524614583
101002130536
11474749560
1223b7407a0
1312c804b64
1497143cc8
155cea2876
hex3bbb4c68

1002130536 has 64 divisors (see below), whose sum is σ = 2737774080. Its totient is φ = 303154880.

The previous prime is 1002130531. The next prime is 1002130537. The reversal of 1002130536 is 6350312001.

It is a super-2 number, since 2×10021305362 = 2008531222367294592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002130531) 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, 167875 + ... + 173741.

It is an arithmetic number, because the mean of its divisors is an integer number (42777720).

Almost surely, 21002130536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002130536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368887040).

1002130536 is an abundant number, since it is smaller than the sum of its proper divisors (1735643544).

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

1002130536 is a wasteful number, since it uses less digits than its factorization.

1002130536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1002130536 is about 31656.4454100583. The cubic root of 1002130536 is about 1000.7096749091.

Adding to 1002130536 its reverse (6350312001), we get a palindrome (7352442537).

The spelling of 1002130536 in words is "one billion, two million, one hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 647 1294 1941 2588 3882 5176 5867 7117 7764 11734 14234 15528 17601 21351 23468 28468 35202 42702 46936 56936 64537 70404 85404 129074 140808 170808 193611 258148 387222 516296 774444 1548888 3795949 7591898 11387847 15183796 22775694 30367592 41755439 45551388 83510878 91102776 125266317 167021756 250532634 334043512 501065268 1002130536