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1357968 = 243191489
BaseRepresentation
bin101001011100010010000
32112222210010
411023202100
5321423333
645034520
714354043
oct5134220
92488703
101357968
11848297
12555a40
13387141
14274c5a
151bc563
hex14b890

1357968 has 40 divisors (see below), whose sum is σ = 3695200. Its totient is φ = 428544.

The previous prime is 1357927. The next prime is 1357969. The reversal of 1357968 is 8697531.

It is not an unprimeable number, because it can be changed into a prime (1357969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 1656.

It is an arithmetic number, because the mean of its divisors is an integer number (92380).

21357968 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 1357968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847600).

1357968 is an abundant number, since it is smaller than the sum of its proper divisors (2337232).

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

1357968 is a wasteful number, since it uses less digits than its factorization.

1357968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1513 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 1357968 is about 1165.3188404896. The cubic root of 1357968 is about 110.7379582897.

The spelling of 1357968 in words is "one million, three hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1489 2978 4467 5956 8934 11912 17868 23824 28291 35736 56582 71472 84873 113164 169746 226328 339492 452656 678984 1357968