Search a number
-
+
102804120 = 2333595189
BaseRepresentation
bin1100010000010…
…10101010011000
321011102222202000
412020022222120
5202304212440
614111241000
72355551316
oct610125230
9234388660
10102804120
1153037291
122a519160
13183b5c53
14d9210b6
15905a730
hex620aa98

102804120 has 64 divisors (see below), whose sum is σ = 342684000. Its totient is φ = 27414144.

The previous prime is 102804077. The next prime is 102804127. The reversal of 102804120 is 21408201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102804093 and 102804102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102804127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46515 + ... + 48674.

Almost surely, 2102804120 is an apocalyptic number.

102804120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102804120 is an abundant number, since it is smaller than the sum of its proper divisors (239879880).

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

102804120 is a wasteful number, since it uses less digits than its factorization.

102804120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95209 (or 95199 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102804120 is about 10139.2366576582. The cubic root of 102804120 is about 468.4574750869.

It can be divided in two parts, 10280 and 4120, that added together give a square (14400 = 1202).

The spelling of 102804120 in words is "one hundred two million, eight hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 95189 190378 285567 380756 475945 571134 761512 856701 951890 1142268 1427835 1713402 1903780 2284536 2570103 2855670 3426804 3807560 4283505 5140206 5711340 6853608 8567010 10280412 11422680 12850515 17134020 20560824 25701030 34268040 51402060 102804120