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1006130024 = 23125766253
BaseRepresentation
bin111011111110000…
…101001101101000
32121010012200220222
4323332011031220
54030032130044
6243500505212
733634651454
oct7376051550
92533180828
101006130024
11476a30419
12240b4b208
131305a5413
14978a5664
155d4e28ee
hex3bf85368

1006130024 has 8 divisors (see below), whose sum is σ = 1886493810. Its totient is φ = 503065008.

The previous prime is 1006130003. The next prime is 1006130029. The reversal of 1006130024 is 4200316001.

It can be written as a sum of positive squares in only one way, i.e., 864948100 + 141181924 = 29410^2 + 11882^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 1006129984 and 1006130011.

It is not an unprimeable number, because it can be changed into a prime (1006130029) 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 as a sum of consecutive naturals, namely, 62883119 + ... + 62883134.

Almost surely, 21006130024 is an apocalyptic number.

It is an amenable number.

1006130024 is a deficient number, since it is larger than the sum of its proper divisors (880363786).

1006130024 is a wasteful number, since it uses less digits than its factorization.

1006130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125766259 (or 125766255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1006130024 is about 31719.5527080695. The cubic root of 1006130024 is about 1002.0391802508.

Adding to 1006130024 its reverse (4200316001), we get a palindrome (5206446025).

The spelling of 1006130024 in words is "one billion, six million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 125766253 251532506 503065012 1006130024