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102035052 = 2234726427
BaseRepresentation
bin1100001010011…
…10111001101100
321002222220210000
412011032321230
5202110110202
614042544300
72346166200
oct605167154
9232886700
10102035052
1152661499
122a208090
13181a6b92
14d7a0b00
158e5791c
hex614ee6c

102035052 has 90 divisors (see below), whose sum is σ = 310337412. Its totient is φ = 29148336.

The previous prime is 102035041. The next prime is 102035069. The reversal of 102035052 is 250530201.

It is a happy number.

It is a super-2 number, since 2×1020350522 = 20822303673285408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12663 + ... + 19089.

Almost surely, 2102035052 is an apocalyptic number.

102035052 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 102035052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155168706).

102035052 is an abundant number, since it is smaller than the sum of its proper divisors (208302360).

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

102035052 is a wasteful number, since it uses less digits than its factorization.

102035052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 102035052 is about 10101.2401218860. The cubic root of 102035052 is about 467.2863877734.

Adding to 102035052 its reverse (250530201), we get a palindrome (352565253).

The spelling of 102035052 in words is "one hundred two million, thirty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 6427 7938 12854 15876 19281 25708 38562 44989 57843 77124 89978 115686 134967 173529 179956 231372 269934 314923 347058 404901 520587 539868 629846 694116 809802 944769 1041174 1214703 1259692 1619604 1889538 2082348 2429406 2834307 3644109 3779076 4858812 5668614 7288218 8502921 11337228 14576436 17005842 25508763 34011684 51017526 102035052