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290489706 = 233132139229
BaseRepresentation
bin10001010100001…
…000010101101010
3202020121101222000
4101110020111222
51043331132311
644454111430
710125056523
oct2124102552
9666541860
10290489706
11139a79241
128134b576
134824b100
142a81984a
151a781056
hex1150856a

290489706 has 96 divisors (see below), whose sum is σ = 707112000. Its totient is φ = 88350912.

The previous prime is 290489597. The next prime is 290489707. The reversal of 290489706 is 607984092.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290489707) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1268400 + ... + 1268628.

It is an arithmetic number, because the mean of its divisors is an integer number (7365750).

Almost surely, 2290489706 is an apocalyptic number.

290489706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 290489706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353556000).

290489706 is an abundant number, since it is smaller than the sum of its proper divisors (416622294).

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

290489706 is a wasteful number, since it uses less digits than its factorization.

290489706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 290489706 is about 17043.7585643543. The cubic root of 290489706 is about 662.2829618230.

The spelling of 290489706 in words is "two hundred ninety million, four hundred eighty-nine thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 139 169 229 234 278 338 351 417 458 507 687 702 834 1014 1251 1374 1521 1807 2061 2502 2977 3042 3614 3753 4122 4563 5421 5954 6183 7506 8931 9126 10842 12366 16263 17862 23491 26793 31831 32526 38701 46982 48789 53586 63662 70473 77402 80379 95493 97578 116103 140946 160758 190986 211419 232206 286479 348309 413803 422838 572958 634257 696618 827606 859437 1044927 1241409 1268514 1718874 2089854 2482818 3724227 5379439 7448454 10758878 11172681 16138317 22345362 32276634 48414951 96829902 145244853 290489706