Search a number
-
+
102420040 = 2356134177
BaseRepresentation
bin1100001101011…
…00111001001000
321010201110212211
412012230321020
5202204420130
614055114504
72352361462
oct606547110
9233643784
10102420040
11528a4768
122a372a34
13182b0198
14d861132
158ed1a2a
hex61ace48

102420040 has 32 divisors (see below), whose sum is σ = 230876280. Its totient is φ = 40891392.

The previous prime is 102419987. The next prime is 102420061. The reversal of 102420040 is 40024201.

It can be written as a sum of positive squares in 4 ways, for example, as 72148036 + 30272004 = 8494^2 + 5502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102420040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22432 + ... + 26608.

Almost surely, 2102420040 is an apocalyptic number.

102420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102420040 is an abundant number, since it is smaller than the sum of its proper divisors (128456240).

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

102420040 is a wasteful number, since it uses less digits than its factorization.

102420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 102420040 is about 10120.2786522902. The cubic root of 102420040 is about 467.8733555585.

Adding to 102420040 its reverse (40024201), we get a palindrome (142444241).

The spelling of 102420040 in words is "one hundred two million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 613 1226 2452 3065 4177 4904 6130 8354 12260 16708 20885 24520 33416 41770 83540 167080 2560501 5121002 10242004 12802505 20484008 25605010 51210020 102420040