Search a number
-
+
6025139640 = 2334513532699
BaseRepresentation
bin1011001110010000…
…00101010110111000
3120112220100210210000
411213020011112320
544314413432030
62433511353000
7302210561532
oct54710052670
916486323700
106025139640
112612041653
121201982760
1375035b6b0
144122b4852
15253e51860
hex1672055b8

6025139640 has 320 divisors, whose sum is σ = 22228668000. Its totient is φ = 1454588928.

The previous prime is 6025139629. The next prime is 6025139651. The reversal of 6025139640 is 469315206.

It is a happy number.

6025139640 is a `hidden beast` number, since 6 + 0 + 2 + 5 + 1 + 3 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (6025139629) and next prime (6025139651).

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 = 6025139595 and 6025139604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2231011 + ... + 2233709.

Almost surely, 26025139640 is an apocalyptic number.

6025139640 is a gapful number since it is divisible by the number (60) 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 6025139640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114334000).

6025139640 is an abundant number, since it is smaller than the sum of its proper divisors (16203528360).

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

6025139640 is a wasteful number, since it uses less digits than its factorization.

6025139640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6025139640 is about 77621.7729764014. The cubic root of 6025139640 is about 1819.6549319636.

The spelling of 6025139640 in words is "six billion, twenty-five million, one hundred thirty-nine thousand, six hundred forty".