Search a number
-
+
102415368 = 23311235267
BaseRepresentation
bin1100001101010…
…11110000001000
321010201020110210
412012223300020
5202204242433
614055041120
72352342036
oct606536010
9233636423
10102415368
11528a1200
122a3701a0
13182ab013
14d85d556
158ed0463
hex61abc08

102415368 has 48 divisors (see below), whose sum is σ = 281438640. Its totient is φ = 31034080.

The previous prime is 102415367. The next prime is 102415421. The reversal of 102415368 is 863514201.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102415367) 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 11 ways as a sum of consecutive naturals, for example, 14730 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (5863305).

Almost surely, 2102415368 is an apocalyptic number.

It is an amenable number.

102415368 is an abundant number, since it is smaller than the sum of its proper divisors (179023272).

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

102415368 is a wasteful number, since it uses less digits than its factorization.

102415368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35298 (or 35283 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 102415368 is about 10120.0478259739. The cubic root of 102415368 is about 467.8662412686.

Adding to 102415368 its reverse (863514201), we get a palindrome (965929569).

The spelling of 102415368 in words is "one hundred two million, four hundred fifteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 35267 70534 105801 141068 211602 282136 387937 423204 775874 846408 1163811 1551748 2327622 3103496 4267307 4655244 8534614 9310488 12801921 17069228 25603842 34138456 51207684 102415368