Search a number
-
+
1291392 = 27321959
BaseRepresentation
bin100111011010010000000
32102121110100
410323102000
5312311032
643402400
713655664
oct4732200
92377410
101291392
11802273
12523400
13362a4b
142588a4
151a797c
hex13b480

1291392 has 96 divisors (see below), whose sum is σ = 3978000. Its totient is φ = 400896.

The previous prime is 1291391. The next prime is 1291421. The reversal of 1291392 is 2931921.

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.

It is not an unprimeable number, because it can be changed into a prime (1291391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21859 + ... + 21917.

21291392 is an apocalyptic number.

1291392 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 1291392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989000).

1291392 is an abundant number, since it is smaller than the sum of its proper divisors (2686608).

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

1291392 is a wasteful number, since it uses less digits than its factorization.

1291392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1291392 is about 1136.3942977682. The cubic root of 1291392 is about 108.8978646557.

It can be divided in two parts, 129 and 1392, that added together give a square (1521 = 392).

The spelling of 1291392 in words is "one million, two hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 59 64 72 76 96 114 118 128 144 152 171 177 192 228 236 288 304 342 354 384 456 472 531 576 608 684 708 912 944 1062 1121 1152 1216 1368 1416 1824 1888 2124 2242 2432 2736 2832 3363 3648 3776 4248 4484 5472 5664 6726 7296 7552 8496 8968 10089 10944 11328 13452 16992 17936 20178 21888 22656 26904 33984 35872 40356 53808 67968 71744 80712 107616 143488 161424 215232 322848 430464 645696 1291392