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290939040 = 2535571069
BaseRepresentation
bin10001010101110…
…110000010100000
3202021110020100000
4101111312002200
51043440022130
644511500000
710131640530
oct2125660240
9667406300
10290939040
1113a255897
1281527600
13483777a2
142a8d54c0
151a81e260
hex115760a0

290939040 has 288 divisors, whose sum is σ = 1177787520. Its totient is φ = 66438144.

The previous prime is 290939023. The next prime is 290939041. The reversal of 290939040 is 40939092.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2909390402 = 169291049992243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 290938986 and 290939004.

It is not an unprimeable number, because it can be changed into a prime (290939041) 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, 271626 + ... + 272694.

It is an arithmetic number, because the mean of its divisors is an integer number (4089540).

Almost surely, 2290939040 is an apocalyptic number.

290939040 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 290939040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588893760).

290939040 is an abundant number, since it is smaller than the sum of its proper divisors (886848480).

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

290939040 is a wasteful number, since it uses less digits than its factorization.

290939040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 290939040 is about 17056.9352464034. The cubic root of 290939040 is about 662.6242624393.

The spelling of 290939040 in words is "two hundred ninety million, nine hundred thirty-nine thousand, forty".