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1006992536 = 231119957503
BaseRepresentation
bin111100000001010…
…111110010011000
32121011211112001212
4330001113302120
54030242230121
6243531202252
733645203204
oct7401276230
92534745055
101006992536
1147746a440
122412a6388
13130817b94
1497a4bb04
155d61325b
hex3c057c98

1006992536 has 32 divisors (see below), whose sum is σ = 2070144000. Its totient is φ = 455415840.

The previous prime is 1006992521. The next prime is 1006992541. The reversal of 1006992536 is 6352996001.

It is a super-2 number, since 2×10069925362 = 2028067935119422592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006992493 and 1006992502.

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, 11240 + ... + 46263.

It is an arithmetic number, because the mean of its divisors is an integer number (64692000).

Almost surely, 21006992536 is an apocalyptic number.

It is an amenable number.

1006992536 is an abundant number, since it is smaller than the sum of its proper divisors (1063151464).

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

1006992536 is a wasteful number, since it uses less digits than its factorization.

1006992536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57719 (or 57715 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 1006992536 is about 31733.1456997254. The cubic root of 1006992536 is about 1002.3254335007.

The spelling of 1006992536 in words is "one billion, six million, nine hundred ninety-two thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 199 398 796 1592 2189 4378 8756 17512 57503 115006 230012 460024 632533 1265066 2530132 5060264 11443097 22886194 45772388 91544776 125874067 251748134 503496268 1006992536