Search a number
-
+
68520456 = 23321735501
BaseRepresentation
bin1000001010110…
…00101000001000
311202221012101200
410011120220020
5120020123311
610444344200
71461262044
oct405305010
9152835350
1068520456
1135750484
121ab45060
1311271264
149159024
156037556
hex4158a08

68520456 has 48 divisors (see below), whose sum is σ = 186682860. Its totient is φ = 22704000.

The previous prime is 68520451. The next prime is 68520461. The reversal of 68520456 is 65402586.

It is an interprime number because it is at equal distance from previous prime (68520451) and next prime (68520461).

It can be written as a sum of positive squares in 2 ways, for example, as 48860100 + 19660356 = 6990^2 + 4434^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 68520456.

It is not an unprimeable number, because it can be changed into a prime (68520451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9706 + ... + 15206.

Almost surely, 268520456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68520456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93341430).

68520456 is an abundant number, since it is smaller than the sum of its proper divisors (118162404).

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

68520456 is a wasteful number, since it uses less digits than its factorization.

68520456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 68520456 is about 8277.7083785309. The cubic root of 68520456 is about 409.2041989805.

The spelling of 68520456 in words is "sixty-eight million, five hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 5501 6228 11002 12456 16503 22004 33006 44008 49509 66012 99018 132024 198036 396072 951673 1903346 2855019 3806692 5710038 7613384 8565057 11420076 17130114 22840152 34260228 68520456