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1442688 = 27313172
BaseRepresentation
bin101100000001110000000
32201021222220
411200032000
5332131223
650531040
715156042
oct5401600
92637886
101442688
118a5a05
12596a80
133b6880
14297a92
151d76e3
hex160380

1442688 has 96 divisors (see below), whose sum is σ = 4383960. Its totient is φ = 417792.

The previous prime is 1442669. The next prime is 1442717. The reversal of 1442688 is 8862441.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (12288) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84856 + ... + 84872.

21442688 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 1442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191980).

1442688 is an abundant number, since it is smaller than the sum of its proper divisors (2941272).

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

1442688 is a wasteful number, since it uses less digits than its factorization.

1442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 1442688 is about 1201.1194778206. The cubic root of 1442688 is about 112.9945438147.

The spelling of 1442688 in words is "one million, four hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 289 312 384 408 416 442 544 578 624 663 816 832 867 884 1088 1156 1248 1326 1632 1664 1734 1768 2176 2312 2496 2652 3264 3468 3536 3757 4624 4992 5304 6528 6936 7072 7514 9248 10608 11271 13872 14144 15028 18496 21216 22542 27744 28288 30056 36992 42432 45084 55488 60112 84864 90168 110976 120224 180336 240448 360672 480896 721344 1442688