Search a number
-
+
1350648 = 233313237
BaseRepresentation
bin101001001101111111000
32112121202000
411021233320
5321210043
644541000
714323515
oct5115770
92477660
101350648
11842842
12551760
13383a00
1427230c
151ba2d3
hex149bf8

1350648 has 96 divisors (see below), whose sum is σ = 4172400. Its totient is φ = 404352.

The previous prime is 1350647. The next prime is 1350677. The reversal of 1350648 is 8460531.

1350648 is a `hidden beast` number, since 13 + 5 + 0 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36486 + ... + 36522.

21350648 is an apocalyptic number.

1350648 is a gapful number since it is divisible by the number (18) 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 1350648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086200).

1350648 is an abundant number, since it is smaller than the sum of its proper divisors (2821752).

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

1350648 is a wasteful number, since it uses less digits than its factorization.

1350648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1350648 is about 1162.1738252086. The cubic root of 1350648 is about 110.5386254818.

The spelling of 1350648 in words is "one million, three hundred fifty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 104 108 111 117 148 156 169 216 222 234 296 312 333 338 351 444 468 481 507 666 676 702 888 936 962 999 1014 1332 1352 1404 1443 1521 1924 1998 2028 2664 2808 2886 3042 3848 3996 4056 4329 4563 5772 6084 6253 7992 8658 9126 11544 12168 12506 12987 17316 18252 18759 25012 25974 34632 36504 37518 50024 51948 56277 75036 103896 112554 150072 168831 225108 337662 450216 675324 1350648