Search a number
-
+
10542477240 = 23385172139
BaseRepresentation
bin10011101000110000…
…10110111110111000
31000012201112100000000
421310120112332320
5133042333232430
64502041513000
7522152402151
oct116430267670
930181470000
1010542477240
11451aa54209
1220627a2760
13cc01c5819
14720214928
1541a816e60
hex274616fb8

10542477240 has 432 divisors, whose sum is σ = 38066956200. Its totient is φ = 2626919424.

The previous prime is 10542477233. The next prime is 10542477247. The reversal of 10542477240 is 4277424501.

10542477240 is a `hidden beast` number, since 1 + 0 + 542 + 4 + 7 + 72 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10542477233) and next prime (10542477247).

It is a super-3 number, since 3×105424772403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10542477195 and 10542477204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542477247) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 75845091 + ... + 75845229.

Almost surely, 210542477240 is an apocalyptic number.

10542477240 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 10542477240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19033478100).

10542477240 is an abundant number, since it is smaller than the sum of its proper divisors (27524478960).

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

10542477240 is an equidigital number, since it uses as much as digits as its factorization.

10542477240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 10542477240 in words is "ten billion, five hundred forty-two million, four hundred seventy-seven thousand, two hundred forty".