Search a number
-
+
102999168 = 273329803
BaseRepresentation
bin1100010001110…
…10010010000000
321011210220022000
412020322102000
5202331433133
614115344000
72360323056
oct610722200
9234726260
10102999168
115315a888
122a5b2000
131845396c
14d9721d6
159098413
hex623a480

102999168 has 64 divisors (see below), whose sum is σ = 304000800. Its totient is φ = 34331904.

The previous prime is 102999121. The next prime is 102999181. The reversal of 102999168 is 861999201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11446 + ... + 18357.

Almost surely, 2102999168 is an apocalyptic number.

102999168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102999168 is an abundant number, since it is smaller than the sum of its proper divisors (201001632).

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

102999168 is an equidigital number, since it uses as much as digits as its factorization.

102999168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29826 (or 29808 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 102999168 is about 10148.8505753115. The cubic root of 102999168 is about 468.7535526131.

It can be divided in two parts, 10299916 and 8, that multiplied together give a palindrome (82399328).

The spelling of 102999168 in words is "one hundred two million, nine hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 29803 59606 89409 119212 178818 238424 268227 357636 476848 536454 715272 804681 953696 1072908 1430544 1609362 1907392 2145816 2861088 3218724 3814784 4291632 5722176 6437448 8583264 11444352 12874896 17166528 25749792 34333056 51499584 102999168