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290947072 = 21513683
BaseRepresentation
bin10001010101111…
…000000000000000
3202021110122100111
4101111320000000
51043440301242
644512001104
710132003123
oct2125700000
9667418314
10290947072
1113a260929
1281530194
134837b340
142a8d83ba
151a821817
hex11578000

290947072 has 64 divisors (see below), whose sum is σ = 627563160. Its totient is φ = 134086656.

The previous prime is 290947049. The next prime is 290947081. The reversal of 290947072 is 270749092.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425643 + ... + 426325.

Almost surely, 2290947072 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 290947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313781580).

290947072 is an abundant number, since it is smaller than the sum of its proper divisors (336616088).

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

290947072 is an frugal number, since it uses more digits than its factorization.

290947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 290947072 is about 17057.1706915303. The cubic root of 290947072 is about 662.6303601074.

The spelling of 290947072 in words is "two hundred ninety million, nine hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 683 832 1024 1366 1664 2048 2732 3328 4096 5464 6656 8192 8879 10928 13312 16384 17758 21856 26624 32768 35516 43712 53248 71032 87424 106496 142064 174848 212992 284128 349696 425984 568256 699392 1136512 1398784 2273024 2797568 4546048 5595136 9092096 11190272 18184192 22380544 36368384 72736768 145473536 290947072