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290720016 = 24341012221
BaseRepresentation
bin10001010101000…
…000100100010000
3202021001002220000
4101111000210100
51043411020031
644503050000
710130036136
oct2125004420
9667032800
10290720016
1113a116284
1281440900
13482cbba2
142a879756
151a7c93e6
hex11540910

290720016 has 100 divisors (see below), whose sum is σ = 850141644. Its totient is φ = 95904000.

The previous prime is 290720011. The next prime is 290720039. The reversal of 290720016 is 610027092.

It can be written as a sum of positive squares in 2 ways, for example, as 246364416 + 44355600 = 15696^2 + 6660^2 .

It is a super-3 number, since 3×2907200163 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (290720011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129786 + ... + 132006.

Almost surely, 2290720016 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 290720016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425070822).

290720016 is an abundant number, since it is smaller than the sum of its proper divisors (559421628).

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

290720016 is a wasteful number, since it uses less digits than its factorization.

290720016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 290720016 is about 17050.5136579518. The cubic root of 290720016 is about 662.4579423164.

The spelling of 290720016 in words is "two hundred ninety million, seven hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 808 909 1212 1296 1616 1818 2221 2424 2727 3636 4442 4848 5454 6663 7272 8181 8884 10908 13326 14544 16362 17768 19989 21816 26652 32724 35536 39978 43632 53304 59967 65448 79956 106608 119934 130896 159912 179901 224321 239868 319824 359802 448642 479736 672963 719604 897284 959472 1345926 1439208 1794568 2018889 2691852 2878416 3589136 4037778 5383704 6056667 8075556 10767408 12113334 16151112 18170001 24226668 32302224 36340002 48453336 72680004 96906672 145360008 290720016