Search a number
-
+
102005520 = 2435643661
BaseRepresentation
bin1100001010001…
…11101100010000
321002221102021020
412011013230100
5202103134040
614042155440
72346014121
oct605075420
9232842236
10102005520
1152641291
122a1b2b80
13181965c6
14d794048
158e4dcd0
hex6147b10

102005520 has 80 divisors (see below), whose sum is σ = 317188032. Its totient is φ = 27118080.

The previous prime is 102005489. The next prime is 102005521. The reversal of 102005520 is 25500201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1020055202 = 20810252220940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102005520.

It is not an unprimeable number, because it can be changed into a prime (102005521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153990 + ... + 154650.

Almost surely, 2102005520 is an apocalyptic number.

102005520 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 102005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158594016).

102005520 is an abundant number, since it is smaller than the sum of its proper divisors (215182512).

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

102005520 is a wasteful number, since it uses less digits than its factorization.

102005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 102005520 is about 10099.7782153867. The cubic root of 102005520 is about 467.2413011981.

Adding to 102005520 its reverse (25500201), we get a palindrome (127505721).

The spelling of 102005520 in words is "one hundred two million, five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 643 661 1286 1322 1929 1983 2572 2644 3215 3305 3858 3966 5144 5288 6430 6610 7716 7932 9645 9915 10288 10576 12860 13220 15432 15864 19290 19830 25720 26440 30864 31728 38580 39660 51440 52880 77160 79320 154320 158640 425023 850046 1275069 1700092 2125115 2550138 3400184 4250230 5100276 6375345 6800368 8500460 10200552 12750690 17000920 20401104 25501380 34001840 51002760 102005520