Search a number
-
+
102502000 = 245353967
BaseRepresentation
bin1100001110000…
…00111001110000
321010212122022101
412013000321300
5202220031000
614100550144
72353152436
oct607007160
9233778271
10102502000
11529502a7
122a3b2354
131830b593
14d882d56
158eeae6a
hex61c0e70

102502000 has 80 divisors (see below), whose sum is σ = 252787392. Its totient is φ = 40185600.

The previous prime is 102501913. The next prime is 102502013. The reversal of 102502000 is 205201.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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, 105517 + ... + 106483.

Almost surely, 2102502000 is an apocalyptic number.

102502000 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 102502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696).

102502000 is an abundant number, since it is smaller than the sum of its proper divisors (150285392).

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

102502000 is an equidigital number, since it uses as much as digits as its factorization.

102502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 102502000 is about 10124.3271381361. The cubic root of 102502000 is about 467.9981250077.

Adding to 102502000 its reverse (205201), we get a palindrome (102707201).

The spelling of 102502000 in words is "one hundred two million, five hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 967 1000 1060 1325 1934 2000 2120 2650 3868 4240 4835 5300 6625 7736 9670 10600 13250 15472 19340 21200 24175 26500 38680 48350 51251 53000 77360 96700 102502 106000 120875 193400 205004 241750 256255 386800 410008 483500 512510 820016 967000 1025020 1281275 1934000 2050040 2562550 4100080 5125100 6406375 10250200 12812750 20500400 25625500 51251000 102502000