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1006136130 = 235197170243
BaseRepresentation
bin111011111110000…
…110101101000010
32121010020000022010
4323332012231002
54030032324010
6243500553350
733635005326
oct7376065502
92533200263
101006136130
11476a34a6a
12240b52856
131305a812c
14978a7986
155d4e4620
hex3bf86b42

1006136130 has 32 divisors (see below), whose sum is σ = 2426998464. Its totient is φ = 266939456.

The previous prime is 1006136123. The next prime is 1006136149. The reversal of 1006136130 is 316316001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006136097 and 1006136106.

It is an unprimeable number.

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, 79212 + ... + 91031.

It is an arithmetic number, because the mean of its divisors is an integer number (75843702).

Almost surely, 21006136130 is an apocalyptic number.

1006136130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006136130 is an abundant number, since it is smaller than the sum of its proper divisors (1420862334).

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

1006136130 is a wasteful number, since it uses less digits than its factorization.

1006136130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170450.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1006136130 is about 31719.6489577044. The cubic root of 1006136130 is about 1002.0412073045.

The spelling of 1006136130 in words is "one billion, six million, one hundred thirty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 197 394 591 985 1182 1970 2955 5910 170243 340486 510729 851215 1021458 1702430 2553645 5107290 33537871 67075742 100613613 167689355 201227226 335378710 503068065 1006136130