Search a number
-
+
1720000056 = 233376073191
BaseRepresentation
bin110011010000101…
…0001111000111000
311102212111001111210
41212201101320320
512010310000211
6442401323120
760423521265
oct14641217070
94385431453
101720000056
11802993555
124000364a0
1321545ca18
1412461026c
15a10049a6
hex66851e38

1720000056 has 64 divisors (see below), whose sum is σ = 4424878080. Its totient is φ = 556744320.

The previous prime is 1720000031. The next prime is 1720000127. The reversal of 1720000056 is 6500000271.

It is a junction number, because it is equal to n+sod(n) for n = 1719999987 and 1720000041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537421 + ... + 540611.

It is an arithmetic number, because the mean of its divisors is an integer number (69138720).

Almost surely, 21720000056 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 1720000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212439040).

1720000056 is an abundant number, since it is smaller than the sum of its proper divisors (2704878024).

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

1720000056 is a wasteful number, since it uses less digits than its factorization.

1720000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1720000056 is about 41472.8833817954. The cubic root of 1720000056 is about 1198.1452959821.

The spelling of 1720000056 in words is "one billion, seven hundred twenty million, fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 607 888 1214 1821 2428 3191 3642 4856 6382 7284 9573 12764 14568 19146 22459 25528 38292 44918 67377 76584 89836 118067 134754 179672 236134 269508 354201 472268 539016 708402 944536 1416804 1936937 2833608 3873874 5810811 7747748 11621622 15495496 23243244 46486488 71666669 143333338 215000007 286666676 430000014 573333352 860000028 1720000056