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1066046436 = 2232713325411
BaseRepresentation
bin111111100010101…
…001001111100100
32202021221202210100
4333202221033210
54140401441221
6253441024100
735263150050
oct7742511744
92667852710
101066046436
114a7834514
12259025030
1313cb23310
14a1820c60
15638ca926
hex3f8a93e4

1066046436 has 72 divisors (see below), whose sum is σ = 3316599104. Its totient is φ = 281154240.

The previous prime is 1066046381. The next prime is 1066046437. The reversal of 1066046436 is 6346406601.

1066046436 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 4 + 643 + 6 = 666.

It is a super-2 number, since 2×10660464362 = 2272910007416604192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1066046436.

It is not an unprimeable number, because it can be changed into a prime (1066046437) 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 in 23 ways as a sum of consecutive naturals, for example, 159430 + ... + 165981.

Almost surely, 21066046436 is an apocalyptic number.

It is an amenable number.

1066046436 is an abundant number, since it is smaller than the sum of its proper divisors (2250552668).

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

1066046436 is a wasteful number, since it uses less digits than its factorization.

1066046436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325441 (or 325436 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1066046436 is about 32650.3665523069. The cubic root of 1066046436 is about 1021.5478345409.

The spelling of 1066046436 in words is "one billion, sixty-six million, forty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 325411 650822 976233 1301644 1952466 2277877 2928699 3904932 4230343 4555754 5857398 6833631 8460686 9111508 11714796 12691029 13667262 16921372 20500893 25382058 27334524 29612401 38073087 41001786 50764116 59224802 76146174 82003572 88837203 118449604 152292348 177674406 266511609 355348812 533023218 1066046436