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1066625532 = 2232721135351
BaseRepresentation
bin111111100100110…
…110100111111100
32202100001012011100
4333210312213330
54141024004112
6253501253100
735301111300
oct7744664774
92670035140
101066625532
114a809a605
12259264190
1313cc96a8b
14a1931d00
15639922dc
hex3f9369fc

1066625532 has 108 divisors (see below), whose sum is σ = 3164733936. Its totient is φ = 301996800.

The previous prime is 1066625519. The next prime is 1066625533. The reversal of 1066625532 is 2355266601.

It is a happy number.

It is a super-2 number, since 2×10666255322 = 2275380051028566048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066625533) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196657 + ... + 202007.

It is an arithmetic number, because the mean of its divisors is an integer number (29303092).

Almost surely, 21066625532 is an apocalyptic number.

1066625532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066625532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582366968).

1066625532 is an abundant number, since it is smaller than the sum of its proper divisors (2098108404).

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

1066625532 is a wasteful number, since it uses less digits than its factorization.

1066625532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1066625532 is about 32659.2334876372. The cubic root of 1066625532 is about 1021.7327755713.

The spelling of 1066625532 in words is "one billion, sixty-six million, six hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 113 126 147 196 226 252 294 339 441 452 588 678 791 882 1017 1356 1582 1764 2034 2373 3164 4068 4746 5351 5537 7119 9492 10702 11074 14238 16053 16611 21404 22148 28476 32106 33222 37457 48159 49833 64212 66444 74914 96318 99666 112371 149828 192636 199332 224742 262199 337113 449484 524398 604663 674226 786597 1048796 1209326 1348452 1573194 1813989 2359791 2418652 3146388 3627978 4232641 4719582 5441967 7255956 8465282 9439164 10883934 12697923 16930564 21767868 25395846 29628487 38093769 50791692 59256974 76187538 88885461 118513948 152375076 177770922 266656383 355541844 533312766 1066625532