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102386988 = 2232111767227
BaseRepresentation
bin1100001101001…
…00110100101100
321010122210112200
412012210310230
5202202340423
614054301500
72352163224
oct606446454
9233583480
10102386988
1152881950
122a357890
131829b122
14d853084
158ec6d43
hex61a4d2c

102386988 has 144 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 28638720.

The previous prime is 102386987. The next prime is 102386993. The reversal of 102386988 is 889683201.

It is not an unprimeable number, because it can be changed into a prime (102386981) 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, 450931 + ... + 451157.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2102386988 is an apocalyptic number.

102386988 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 102386988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

102386988 is an abundant number, since it is smaller than the sum of its proper divisors (202359636).

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

102386988 is a wasteful number, since it uses less digits than its factorization.

102386988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 102386988 is about 10118.6455615364. The cubic root of 102386988 is about 467.8230209628.

The spelling of 102386988 in words is "one hundred two million, three hundred eighty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 67 68 99 102 132 134 153 187 198 201 204 227 268 306 374 396 402 454 561 603 612 681 737 748 804 908 1122 1139 1206 1362 1474 1683 2043 2211 2244 2278 2412 2497 2724 2948 3366 3417 3859 4086 4422 4556 4994 6633 6732 6834 7491 7718 8172 8844 9988 10251 11577 12529 13266 13668 14982 15209 15436 20502 22473 23154 25058 26532 29964 30418 34731 37587 41004 42449 44946 45627 46308 50116 60836 69462 75174 84898 89892 91254 112761 127347 136881 138924 150348 167299 169796 182508 225522 254694 258553 273762 334598 382041 451044 501897 509388 517106 547524 669196 764082 775659 1003794 1034212 1505691 1528164 1551318 2007588 2326977 2844083 3011382 3102636 4653954 5688166 6022764 8532249 9307908 11376332 17064498 25596747 34128996 51193494 102386988