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289081680 = 24351204507
BaseRepresentation
bin10001001110110…
…000100101010000
3202010221212111220
4101032300211100
51043001103210
644404005040
710110103506
oct2116604520
9663855456
10289081680
111391a7388
1280990780
1347b77264
142a570676
151a5a3c70
hex113b0950

289081680 has 40 divisors (see below), whose sum is σ = 896153952. Its totient is φ = 77088384.

The previous prime is 289081673. The next prime is 289081691. The reversal of 289081680 is 86180982.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602014 + ... + 602493.

Almost surely, 2289081680 is an apocalyptic number.

289081680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289081680 is an abundant number, since it is smaller than the sum of its proper divisors (607072272).

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

289081680 is a wasteful number, since it uses less digits than its factorization.

289081680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204523 (or 1204517 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 289081680 is about 17002.4021832211. The cubic root of 289081680 is about 661.2111827633.

It can be divided in two parts, 28908 and 1680, that multiplied together give a triangular number (48565440 = T9855).

The spelling of 289081680 in words is "two hundred eighty-nine million, eighty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1204507 2409014 3613521 4818028 6022535 7227042 9636056 12045070 14454084 18067605 19272112 24090140 28908168 36135210 48180280 57816336 72270420 96360560 144540840 289081680