Search a number
-
+
1668992256 = 2833241463
BaseRepresentation
bin110001101111010…
…1100110100000000
311022022111120222000
41203132230310000
511404230223011
6433340144000
756234125431
oct14336546400
94268446860
101668992256
11787114648
123a6b38000
13207a109a9
1411b933488
159b7cb356
hex637acd00

1668992256 has 72 divisors (see below), whose sum is σ = 4935524160. Its totient is φ = 556328448.

The previous prime is 1668992251. The next prime is 1668992261. The reversal of 1668992256 is 6522998661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1668992251) and next prime (1668992261).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668992251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113820 + ... + 127643.

Almost surely, 21668992256 is an apocalyptic number.

1668992256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1668992256 is an abundant number, since it is smaller than the sum of its proper divisors (3266531904).

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

1668992256 is an equidigital number, since it uses as much as digits as its factorization.

1668992256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241488 (or 241468 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 1668992256 is about 40853.3016535996. The cubic root of 1668992256 is about 1186.1823034109.

The spelling of 1668992256 in words is "one billion, six hundred sixty-eight million, nine hundred ninety-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 241463 482926 724389 965852 1448778 1931704 2173167 2897556 3863408 4346334 5795112 6519501 7726816 8692668 11590224 13039002 15453632 17385336 23180448 26078004 30907264 34770672 46360896 52156008 61814528 69541344 92721792 104312016 139082688 185443584 208624032 278165376 417248064 556330752 834496128 1668992256