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1427712 = 28311132
BaseRepresentation
bin101011100100100000000
32200112110020
411130210000
5331141322
650333440
715064266
oct5344400
92615406
101427712
11895730
1258a280
133acb00
14292436
151d305c
hex15c900

1427712 has 108 divisors (see below), whose sum is σ = 4488624. Its totient is φ = 399360.

The previous prime is 1427707. The next prime is 1427737. The reversal of 1427712 is 2177241.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (784) is a multiple of the sum of its prime factors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109818 + ... + 109830.

21427712 is an apocalyptic number.

1427712 is a gapful number since it is divisible by the number (12) 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 1427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244312).

1427712 is an abundant number, since it is smaller than the sum of its proper divisors (3060912).

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

1427712 is a wasteful number, since it uses less digits than its factorization.

1427712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 29 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 1427712 is about 1194.8690304799. The cubic root of 1427712 is about 112.6021984896.

The spelling of 1427712 in words is "one million, four hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 169 176 192 208 256 264 286 312 338 352 384 416 429 507 528 572 624 676 704 768 832 858 1014 1056 1144 1248 1352 1408 1664 1716 1859 2028 2112 2288 2496 2704 2816 3328 3432 3718 4056 4224 4576 4992 5408 5577 6864 7436 8112 8448 9152 9984 10816 11154 13728 14872 16224 18304 21632 22308 27456 29744 32448 36608 43264 44616 54912 59488 64896 89232 109824 118976 129792 178464 237952 356928 475904 713856 1427712