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102161466 = 233111767151
BaseRepresentation
bin1100001011011…
…01110000111010
321010020100012000
412011231300322
5202123131331
614045401430
72350233561
oct605556072
9233210160
10102161466
1152738470
122a269276
131821c594
14d7d4bd8
158e800e6
hex616dc3a

102161466 has 128 divisors (see below), whose sum is σ = 267909120. Its totient is φ = 28512000.

The previous prime is 102161443. The next prime is 102161471. The reversal of 102161466 is 664161201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676491 + ... + 676641.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 2102161466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102161466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954560).

102161466 is an abundant number, since it is smaller than the sum of its proper divisors (165747654).

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

102161466 is a wasteful number, since it uses less digits than its factorization.

102161466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102161466 is about 10107.4955354925. The cubic root of 102161466 is about 467.4792860697.

The spelling of 102161466 in words is "one hundred two million, one hundred sixty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 67 99 102 134 151 153 187 198 201 297 302 306 374 402 453 459 561 594 603 737 906 918 1122 1139 1206 1359 1474 1661 1683 1809 2211 2278 2567 2718 3322 3366 3417 3618 4077 4422 4983 5049 5134 6633 6834 7701 8154 9966 10098 10117 10251 12529 13266 14949 15402 19899 20234 20502 23103 25058 28237 29898 30351 30753 37587 39798 44847 46206 56474 60702 61506 69309 75174 84711 89694 91053 111287 112761 138618 169422 171989 182106 222574 225522 254133 273159 333861 338283 343978 508266 515967 546318 667722 676566 762399 1001583 1031934 1524798 1547901 1891879 2003166 3004749 3095802 3783758 4643703 5675637 6009498 9287406 11351274 17026911 34053822 51080733 102161466