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1142964 = 223319557
BaseRepresentation
bin100010111000010110100
32011001212000
410113002310
5243033324
640255300
712500154
oct4270264
92131760
101142964
117107a9
12471530
13310314
1421a764
151789c9
hex1170b4

1142964 has 48 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 360288.

The previous prime is 1142959. The next prime is 1142969. The reversal of 1142964 is 4692411.

It is an interprime number because it is at equal distance from previous prime (1142959) and next prime (1142969).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774 + ... + 2330.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

21142964 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 1142964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1142964 is an abundant number, since it is smaller than the sum of its proper divisors (1981836).

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

1142964 is a wasteful number, since it uses less digits than its factorization.

1142964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1142964 is about 1069.0949443338. The cubic root of 1142964 is about 104.5548501380.

The spelling of 1142964 in words is "one million, one hundred forty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 557 684 1026 1114 1671 2052 2228 3342 5013 6684 10026 10583 15039 20052 21166 30078 31749 42332 60156 63498 95247 126996 190494 285741 380988 571482 1142964