Search a number
-
+
102871524 = 22371279643
BaseRepresentation
bin1100010000110…
…11000111100100
321011120102012110
412020123013210
5202313342044
614112521020
72356251660
oct610330744
9234512173
10102871524
1153082998
122a550170
131840a832
14d93b8a0
1590706b9
hex621b1e4

102871524 has 48 divisors (see below), whose sum is σ = 276512768. Its totient is φ = 29157408.

The previous prime is 102871493. The next prime is 102871541. The reversal of 102871524 is 425178201.

It is a junction number, because it is equal to n+sod(n) for n = 102871491 and 102871500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5847 + ... + 15489.

Almost surely, 2102871524 is an apocalyptic number.

102871524 is a gapful number since it is divisible by the number (14) 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 102871524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138256384).

102871524 is an abundant number, since it is smaller than the sum of its proper divisors (173641244).

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

102871524 is a wasteful number, since it uses less digits than its factorization.

102871524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9784 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 102871524 is about 10142.5600318657. The cubic root of 102871524 is about 468.5598348276.

It can be divided in two parts, 10287 and 1524, that added together give a palindrome (11811).

The spelling of 102871524 in words is "one hundred two million, eight hundred seventy-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 5334 9643 10668 19286 28929 38572 57858 67501 115716 135002 202503 270004 405006 810012 1224661 2449322 3673983 4898644 7347966 8572627 14695932 17145254 25717881 34290508 51435762 102871524