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1066994145 = 32575379809
BaseRepresentation
bin111111100110010…
…000100111100001
32202100201220210200
4333212100213201
54141122303040
6253513215413
735304205050
oct7746204741
92670656720
101066994145
114a8321548
12259401569
131400957a9
14a19ca397
1563a16630
hex3f9909e1

1066994145 has 96 divisors (see below), whose sum is σ = 2183500800. Its totient is φ = 471923712.

The previous prime is 1066994143. The next prime is 1066994167. The reversal of 1066994145 is 5414996601.

It is a happy number.

It is not a de Polignac number, because 1066994145 - 21 = 1066994143 is a prime.

It is a super-2 number, since 2×10669941452 = 2276953010928562050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1066994145.

It is not an unprimeable number, because it can be changed into a prime (1066994143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1318501 + ... + 1319309.

It is an arithmetic number, because the mean of its divisors is an integer number (22744800).

Almost surely, 21066994145 is an apocalyptic number.

1066994145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1066994145 is an abundant number, since it is smaller than the sum of its proper divisors (1116506655).

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

1066994145 is a wasteful number, since it uses less digits than its factorization.

1066994145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1066994145 is about 32664.8763199863. The cubic root of 1066994145 is about 1021.8504615492.

The spelling of 1066994145 in words is "one billion, sixty-six million, nine hundred ninety-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 79 105 159 237 265 315 371 395 477 553 711 795 809 1113 1185 1659 1855 2385 2427 2765 3339 3555 4045 4187 4977 5565 5663 7281 8295 12135 12561 16695 16989 20935 24885 28315 29309 36405 37683 42877 50967 62805 63911 84945 87927 128631 146545 188415 191733 214385 254835 263781 300139 319555 385893 439635 447377 575199 643155 900417 958665 1318905 1342131 1500695 1929465 2236885 2701251 2875995 3387283 4026393 4502085 6710655 10161849 13506255 16936415 20131965 23710981 30485547 50809245 71132943 118554905 152427735 213398829 355664715 1066994145