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102333140 = 22571359953
BaseRepresentation
bin1100001100101…
…11101011010100
321010120001200022
412012113223110
5202144130030
614053204312
72351550230
oct606275324
9233501608
10102333140
1152845448
122a330698
131827c770
14d83b5c0
158eb5de5
hex6197ad4

102333140 has 96 divisors (see below), whose sum is σ = 269256960. Its totient is φ = 31804416.

The previous prime is 102333103. The next prime is 102333151. The reversal of 102333140 is 41333201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106904 + ... + 107856.

It is an arithmetic number, because the mean of its divisors is an integer number (2804760).

Almost surely, 2102333140 is an apocalyptic number.

102333140 is a gapful number since it is divisible by the number (10) 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 102333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628480).

102333140 is an abundant number, since it is smaller than the sum of its proper divisors (166923820).

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

102333140 is a wasteful number, since it uses less digits than its factorization.

102333140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 102333140 is about 10115.9843811663. The cubic root of 102333140 is about 467.7409931189.

Adding to 102333140 its reverse (41333201), we get a palindrome (143666341).

The spelling of 102333140 in words is "one hundred two million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 59 65 70 91 118 130 140 182 236 260 295 364 413 455 590 767 826 910 953 1180 1534 1652 1820 1906 2065 3068 3812 3835 4130 4765 5369 6671 7670 8260 9530 10738 12389 13342 15340 19060 21476 24778 26684 26845 33355 49556 53690 56227 61945 66710 86723 107380 112454 123890 133420 173446 224908 247780 281135 346892 393589 433615 562270 730951 787178 867230 1124540 1461902 1574356 1734460 1967945 2923804 3654755 3935890 5116657 7309510 7871780 10233314 14619020 20466628 25583285 51166570 102333140