Search a number
-
+
139787424 = 2533729797
BaseRepresentation
bin10000101010011…
…11110010100000
3100202000221022000
420111033302200
5241241144144
621512044000
73315113340
oct1025176240
9322027260
10139787424
11719a73a7
123a993600
1322c6466a
14147cad20
15c413769
hex854fca0

139787424 has 192 divisors, whose sum is σ = 482630400. Its totient is φ = 38513664.

The previous prime is 139787423. The next prime is 139787429. The reversal of 139787424 is 424787931.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 139787424.

It is not an unprimeable number, because it can be changed into a prime (139787423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174994 + ... + 175790.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2139787424 is an apocalyptic number.

139787424 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 139787424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

139787424 is an abundant number, since it is smaller than the sum of its proper divisors (342842976).

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

139787424 is a wasteful number, since it uses less digits than its factorization.

139787424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 838 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 139787424 is about 11823.1731781278. The cubic root of 139787424 is about 518.9864676214.

The spelling of 139787424 in words is "one hundred thirty-nine million, seven hundred eighty-seven thousand, four hundred twenty-four".