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290104724 = 227132101607
BaseRepresentation
bin10001010010101…
…010010110010100
3202012212211212102
4101102222112110
51043231322344
644441541232
710121564240
oct2122522624
9665784772
10290104724
11139835a78
12811a4818
1348144b00
142a759420
151a706e4e
hex114aa594

290104724 has 72 divisors (see below), whose sum is σ = 635539968. Its totient is φ = 113443200.

The previous prime is 290104723. The next prime is 290104733. The reversal of 290104724 is 427401092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290104723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477629 + ... + 478235.

It is an arithmetic number, because the mean of its divisors is an integer number (8826944).

Almost surely, 2290104724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290104724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317769984).

290104724 is an abundant number, since it is smaller than the sum of its proper divisors (345435244).

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

290104724 is a wasteful number, since it uses less digits than its factorization.

290104724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 290104724 is about 17032.4608908989. The cubic root of 290104724 is about 661.9902609898.

The spelling of 290104724 in words is "two hundred ninety million, one hundred four thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 169 182 202 338 364 404 607 676 707 1183 1214 1313 1414 2366 2428 2626 2828 4249 4732 5252 7891 8498 9191 15782 16996 17069 18382 31564 34138 36764 55237 61307 68276 102583 110474 119483 122614 205166 220948 238966 245228 410332 429149 477932 718081 796991 858298 1436162 1593982 1716596 2872324 3187964 5578937 10360883 11157874 20721766 22315748 41443532 72526181 145052362 290104724