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1142688 = 25311903
BaseRepresentation
bin100010110111110100000
32011001110210
410112332200
5243031223
640254120
712466311
oct4267640
92131423
101142688
11710578
12471340
13310161
1421a608
15178893
hex116fa0

1142688 has 24 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 380864.

The previous prime is 1142677. The next prime is 1142693. The reversal of 1142688 is 8862411.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5856 + ... + 6047.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

21142688 is an apocalyptic number.

It is an amenable number.

1142688 is an abundant number, since it is smaller than the sum of its proper divisors (1857120).

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

1142688 is a wasteful number, since it uses less digits than its factorization.

1142688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11916 (or 11908 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1142688 is about 1068.9658553948. The cubic root of 1142688 is about 104.5464335819.

It can be divided in two parts, 1142 and 688, that added together give a triangular number (1830 = T60).

The spelling of 1142688 in words is "one million, one hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11903 23806 35709 47612 71418 95224 142836 190448 285672 380896 571344 1142688