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290106973 = 1337603133
BaseRepresentation
bin10001010010101…
…010111001011101
3202012212221221201
4101102222321131
51043231410343
644441555501
710121603632
oct2122527135
9665787851
10290106973
11139837732
12811a5b91
1348145b40
142a75a189
151a70794d
hex114aae5d

290106973 has 8 divisors (see below), whose sum is σ = 320867288. Its totient is φ = 260553024.

The previous prime is 290106961. The next prime is 290107007. The reversal of 290106973 is 379601092.

It is the 6954-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 13816089 + 276290884 = 3717^2 + 16622^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-290106973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290106913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301086 + ... + 302047.

It is an arithmetic number, because the mean of its divisors is an integer number (40108411).

Almost surely, 2290106973 is an apocalyptic number.

It is an amenable number.

290106973 is a deficient number, since it is larger than the sum of its proper divisors (30760315).

290106973 is a wasteful number, since it uses less digits than its factorization.

290106973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603183.

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 290106973 is about 17032.5269117650. The cubic root of 290106973 is about 661.9919716505.

The spelling of 290106973 in words is "two hundred ninety million, one hundred six thousand, nine hundred seventy-three".

Divisors: 1 13 37 481 603133 7840729 22315921 290106973