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1027010628 = 2232723374789
BaseRepresentation
bin111101001101101…
…111000001000100
32122120111112201200
4331031233001010
54100403320003
6245524222500
734310306040
oct7515570104
92576445650
101027010628
114877a2316
12247b3aa30
13134a065c7
149a57d020
15602696a3
hex3d36f044

1027010628 has 144 divisors (see below), whose sum is σ = 3180253440. Its totient is φ = 273030912.

The previous prime is 1027010623. The next prime is 1027010641. The reversal of 1027010628 is 8260107201.

1027010628 is a `hidden beast` number, since 1 + 0 + 27 + 0 + 10 + 628 = 666.

1027010628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1027010623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212058 + ... + 216846.

Almost surely, 21027010628 is an apocalyptic number.

1027010628 is a gapful number since it is divisible by the number (18) 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 1027010628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590126720).

1027010628 is an abundant number, since it is smaller than the sum of its proper divisors (2153242812).

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

1027010628 is a wasteful number, since it uses less digits than its factorization.

1027010628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1027010628 is about 32047.0065372727. The cubic root of 1027010628 is about 1008.9236738420.

Adding to 1027010628 its reverse (8260107201), we get a palindrome (9287117829).

The spelling of 1027010628 in words is "one billion, twenty-seven million, ten thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 37 42 46 63 69 74 84 92 111 126 138 148 161 207 222 252 259 276 322 333 414 444 483 518 644 666 777 828 851 966 1036 1332 1449 1554 1702 1932 2331 2553 2898 3108 3404 4662 4789 5106 5796 5957 7659 9324 9578 10212 11914 14367 15318 17871 19156 23828 28734 30636 33523 35742 43101 53613 57468 67046 71484 86202 100569 107226 110147 134092 172404 177193 201138 214452 220294 301707 330441 354386 402276 440588 531579 603414 660882 708772 771029 991323 1063158 1206828 1240351 1321764 1542058 1594737 1982646 2126316 2313087 2480702 3084116 3189474 3721053 3965292 4075439 4626174 4961404 6378948 6939261 7442106 8150878 9252348 11163159 12226317 13878522 14884212 16301756 22326318 24452634 27757044 28528073 36678951 44652636 48905268 57056146 73357902 85584219 114112292 146715804 171168438 256752657 342336876 513505314 1027010628