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290291040 = 25345131723
BaseRepresentation
bin10001010011010…
…111110101100000
3202020020022110000
4101103113311200
51043303303130
644445540000
710123301364
oct2123276540
9666208400
10290291040
11139952a56
1281274600
13481ab860
142a7a72a4
151a742260
hex114d7d60

290291040 has 240 divisors, whose sum is σ = 1103932368. Its totient is φ = 71414784.

The previous prime is 290291039. The next prime is 290291041. The reversal of 290291040 is 40192092.

It is an interprime number because it is at equal distance from previous prime (290291039) and next prime (290291041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 290290995 and 290291013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290291041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167619 + ... + 169341.

Almost surely, 2290291040 is an apocalyptic number.

290291040 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 290291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551966184).

290291040 is an abundant number, since it is smaller than the sum of its proper divisors (813641328).

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

290291040 is a wasteful number, since it uses less digits than its factorization.

290291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 290291040 is about 17037.9294516675. The cubic root of 290291040 is about 662.1319488842.

The spelling of 290291040 in words is "two hundred ninety million, two hundred ninety-one thousand, forty".