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290571072 = 26311178093
BaseRepresentation
bin10001010100011…
…100001101000000
3202020202112120120
4101110130031000
51043341233242
644455540240
710125545661
oct2124341500
9666675516
10290571072
1113a024390
128138a680
134827915c
142a83b368
151a79a1ec
hex1151c340

290571072 has 112 divisors (see below), whose sum is σ = 888138432. Its totient is φ = 82862080.

The previous prime is 290571067. The next prime is 290571077. The reversal of 290571072 is 270175092.

It is an interprime number because it is at equal distance from previous prime (290571067) and next prime (290571077).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290571077) 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, 31858 + ... + 39950.

Almost surely, 2290571072 is an apocalyptic number.

290571072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444069216).

290571072 is an abundant number, since it is smaller than the sum of its proper divisors (597567360).

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

290571072 is a wasteful number, since it uses less digits than its factorization.

290571072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 290571072 is about 17046.1453707282. The cubic root of 290571072 is about 662.3447910765.

The spelling of 290571072 in words is "two hundred ninety million, five hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3264 4488 5984 8093 8976 11968 16186 17952 24279 32372 35904 48558 64744 89023 97116 129488 137581 178046 194232 258976 267069 275162 356092 388464 412743 517952 534138 550324 712184 776928 825486 1068276 1100648 1424368 1513391 1553856 1650972 2136552 2201296 2848736 3026782 3301944 4273104 4402592 4540173 5697472 6053564 6603888 8546208 8805184 9080346 12107128 13207776 17092416 18160692 24214256 26415552 36321384 48428512 72642768 96857024 145285536 290571072