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290071712 = 25731371129
BaseRepresentation
bin10001010010100…
…010010010100000
3202012211011120202
4101102202102200
51043224243322
644441124332
710121366060
oct2122422240
9665734522
10290071712
11139813197
12811896a8
1348132a88
142a74b3a0
151a6ec292
hex114a24a0

290071712 has 96 divisors (see below), whose sum is σ = 692536320. Its totient is φ = 116951040.

The previous prime is 290071711. The next prime is 290071721. The reversal of 290071712 is 217170092.

It is a super-2 number, since 2×2900717122 = 168283196205221888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290071711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256364 + ... + 257492.

It is an arithmetic number, because the mean of its divisors is an integer number (7213920).

Almost surely, 2290071712 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 290071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346268160).

290071712 is an abundant number, since it is smaller than the sum of its proper divisors (402464608).

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

290071712 is a wasteful number, since it uses less digits than its factorization.

290071712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 290071712 is about 17031.4917725958. The cubic root of 290071712 is about 661.9651499986.

The spelling of 290071712 in words is "two hundred ninety million, seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 74 112 124 148 217 224 248 259 296 434 496 518 592 868 992 1036 1129 1147 1184 1736 2072 2258 2294 3472 4144 4516 4588 6944 7903 8029 8288 9032 9176 15806 16058 18064 18352 31612 32116 34999 36128 36704 41773 63224 64232 69998 83546 126448 128464 139996 167092 244993 252896 256928 279992 292411 334184 489986 559984 584822 668368 979972 1119968 1169644 1294963 1336736 1959944 2339288 2589926 3919888 4678576 5179852 7839776 9064741 9357152 10359704 18129482 20719408 36258964 41438816 72517928 145035856 290071712