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1006535032 = 231931213611
BaseRepresentation
bin111011111111101…
…000000101111000
32121010222021111021
4323333220011320
54030133110112
6243513312224
733641256316
oct7377500570
92533867437
101006535032
11477187738
12241105674
131306b7879
149796d0b6
155d572907
hex3bfe8178

1006535032 has 32 divisors (see below), whose sum is σ = 2050675200. Its totient is φ = 461397600.

The previous prime is 1006535021. The next prime is 1006535053. The reversal of 1006535032 is 2305356001.

It is a happy number.

It is a super-2 number, since 2×10065350322 = 2026225541286482048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006534988 and 1006535006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102094 + ... + 111517.

It is an arithmetic number, because the mean of its divisors is an integer number (64083600).

Almost surely, 21006535032 is an apocalyptic number.

It is an amenable number.

1006535032 is an abundant number, since it is smaller than the sum of its proper divisors (1044140168).

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

1006535032 is a wasteful number, since it uses less digits than its factorization.

1006535032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213667 (or 213663 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1006535032 is about 31725.9362667203. The cubic root of 1006535032 is about 1002.1736159705.

The spelling of 1006535032 in words is "one billion, six million, five hundred thirty-five thousand, thirty-two".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 589 1178 2356 4712 213611 427222 854444 1708888 4058609 6621941 8117218 13243882 16234436 26487764 32468872 52975528 125816879 251633758 503267516 1006535032