Search a number
-
+
20835155340 = 22375503947
BaseRepresentation
bin10011011001110111…
…110011110110001100
31222210001000120000000
4103121313303312030
5320132244432330
613323241404300
71335212620056
oct233167636614
958701016000
1020835155340
1189219a164a
124055799690
131c707191ac
1410191a28d6
1581e239560
hex4d9df3d8c

20835155340 has 192 divisors, whose sum is σ = 65820625920. Its totient is φ = 5539140288.

The previous prime is 20835155339. The next prime is 20835155347. The reversal of 20835155340 is 4355153802.

20835155340 is a `hidden beast` number, since 20 + 83 + 5 + 1 + 553 + 4 + 0 = 666.

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 = 20835155295 and 20835155304.

It is not an unprimeable number, because it can be changed into a prime (20835155347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22000747 + ... + 22001693.

It is an arithmetic number, because the mean of its divisors is an integer number (342815760).

Almost surely, 220835155340 is an apocalyptic number.

20835155340 is a gapful number since it is divisible by the number (20) 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 20835155340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32910312960).

20835155340 is an abundant number, since it is smaller than the sum of its proper divisors (44985470580).

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

20835155340 is an equidigital number, since it uses as much as digits as its factorization.

20835155340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 20835155340 in words is "twenty billion, eight hundred thirty-five million, one hundred fifty-five thousand, three hundred forty".