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290503480 = 235173113781
BaseRepresentation
bin10001010100001…
…011101100111000
3202020122002212011
4101110023230320
51043332102410
644454255304
710125144631
oct2124135470
9666562764
10290503480
11139a88623
1281357534
1348254467
142a820888
151a78518a
hex1150bb38

290503480 has 64 divisors (see below), whose sum is σ = 714458880. Its totient is φ = 105830400.

The previous prime is 290503439. The next prime is 290503481. The reversal of 290503480 is 84305092.

It is a super-2 number, since 2×2905034802 = 168784543784220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290503481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14190 + ... + 27970.

It is an arithmetic number, because the mean of its divisors is an integer number (11163420).

Almost surely, 2290503480 is an apocalyptic number.

290503480 is a gapful number since it is divisible by the number (20) 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 290503480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357229440).

290503480 is an abundant number, since it is smaller than the sum of its proper divisors (423955400).

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

290503480 is a wasteful number, since it uses less digits than its factorization.

290503480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 290503480 is about 17044.1626371025. The cubic root of 290503480 is about 662.2934293670.

The spelling of 290503480 in words is "two hundred ninety million, five hundred three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 13781 21080 27562 55124 68905 110248 137810 234277 275620 427211 468554 551240 854422 937108 1171385 1708844 1874216 2136055 2342770 3417688 4272110 4685540 7262587 8544220 9371080 14525174 17088440 29050348 36312935 58100696 72625870 145251740 290503480