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1321964 = 227311523
BaseRepresentation
bin101000010101111101100
32111011101122
411002233230
5314300324
644200112
714144060
oct5025754
92434348
101321964
11823236
12539038
13373937
14265aa0
151b1a5e
hex142bec

1321964 has 24 divisors (see below), whose sum is σ = 2731008. Its totient is φ = 547920.

The previous prime is 1321961. The next prime is 1321981. The reversal of 1321964 is 4691231.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1321961) 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 7 ways as a sum of consecutive naturals, for example, 107 + ... + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (113792).

21321964 is an apocalyptic number.

1321964 is a gapful number since it is divisible by the number (14) 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 1321964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365504).

1321964 is an abundant number, since it is smaller than the sum of its proper divisors (1409044).

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

1321964 is a wasteful number, since it uses less digits than its factorization.

1321964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1563 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 1321964 is about 1149.7669329042. The cubic root of 1321964 is about 109.7505089372.

The spelling of 1321964 in words is "one million, three hundred twenty-one thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1523 3046 6092 10661 21322 42644 47213 94426 188852 330491 660982 1321964