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1357668 = 223313967
BaseRepresentation
bin101001011011101100100
32112222101000
411023131210
5321421133
645033300
714353134
oct5133544
92488330
101357668
11848044
12555830
13386c70
14274ac4
151bc413
hex14b764

1357668 has 48 divisors (see below), whose sum is σ = 3794560. Its totient is φ = 417312.

The previous prime is 1357661. The next prime is 1357669. The reversal of 1357668 is 8667531.

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

It is not an unprimeable number, because it can be changed into a prime (1357661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921 + ... + 1887.

21357668 is an apocalyptic number.

1357668 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 1357668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897280).

1357668 is an abundant number, since it is smaller than the sum of its proper divisors (2436892).

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

1357668 is a wasteful number, since it uses less digits than its factorization.

1357668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1357668 is about 1165.1901132433. The cubic root of 1357668 is about 110.7298030081.

It can be divided in two parts, 1357 and 668, that added together give a square (2025 = 452).

The spelling of 1357668 in words is "one million, three hundred fifty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 967 1404 1934 2901 3868 5802 8703 11604 12571 17406 25142 26109 34812 37713 50284 52218 75426 104436 113139 150852 226278 339417 452556 678834 1357668