Search a number
-
+
102544840 = 2356783461
BaseRepresentation
bin1100001110010…
…11010111001000
321010221211002001
412013023113020
5202222413330
614101520344
72353421356
oct607132710
9233854061
10102544840
115297a502
122a4130b4
1318324c28
14d8947d6
1590089ca
hex61cb5c8

102544840 has 64 divisors (see below), whose sum is σ = 237504960. Its totient is φ = 39832320.

The previous prime is 102544837. The next prime is 102544853. The reversal of 102544840 is 48445201.

It is a junction number, because it is equal to n+sod(n) for n = 102544799 and 102544808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222210 + ... + 222670.

It is an arithmetic number, because the mean of its divisors is an integer number (3711015).

Almost surely, 2102544840 is an apocalyptic number.

102544840 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 102544840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118752480).

102544840 is an abundant number, since it is smaller than the sum of its proper divisors (134960120).

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

102544840 is a wasteful number, since it uses less digits than its factorization.

102544840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 102544840 is about 10126.4426132774. The cubic root of 102544840 is about 468.0633147835.

The spelling of 102544840 in words is "one hundred two million, five hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 83 134 166 268 332 335 415 461 536 664 670 830 922 1340 1660 1844 2305 2680 3320 3688 4610 5561 9220 11122 18440 22244 27805 30887 38263 44488 55610 61774 76526 111220 123548 153052 154435 191315 222440 247096 306104 308870 382630 617740 765260 1235480 1530520 2563621 5127242 10254484 12818105 20508968 25636210 51272420 102544840