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1006666542 = 23477112503
BaseRepresentation
bin111100000000001…
…000001100101110
32121011012221220000
4330000020030232
54030201312132
6243520205130
733642344610
oct7400101456
92534187800
101006666542
11477267522
122411697a6
1313073269b
14979a4db0
155d59b87c
hex3c00832e

1006666542 has 80 divisors (see below), whose sum is σ = 2614436352. Its totient is φ = 283545360.

The previous prime is 1006666541. The next prime is 1006666559. The reversal of 1006666542 is 2456666001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1006666497 and 1006666506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006666541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74263 + ... + 86765.

Almost surely, 21006666542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006666542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307218176).

1006666542 is an abundant number, since it is smaller than the sum of its proper divisors (1607769810).

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

1006666542 is a wasteful number, since it uses less digits than its factorization.

1006666542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12595 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1006666542 is about 31728.0087934935. The cubic root of 1006666542 is about 1002.2172607877.

The spelling of 1006666542 in words is "one billion, six million, six hundred sixty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 81 126 142 162 189 213 378 426 497 567 639 994 1134 1278 1491 1917 2982 3834 4473 5751 8946 11502 12503 13419 25006 26838 37509 40257 75018 80514 87521 112527 175042 225054 262563 337581 525126 675162 787689 887713 1012743 1575378 1775426 2025486 2363067 2663139 4726134 5326278 6213991 7089201 7989417 12427982 14178402 15978834 18641973 23968251 37283946 47936502 55925919 71904753 111851838 143809506 167777757 335555514 503333271 1006666542