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296090080 = 255111312941
BaseRepresentation
bin10001101001011…
…111100111100000
3202122010221020021
4101221133213200
51101244340310
645214123224
710223503246
oct2151374740
9678127207
10296090080
11142153950
12831b0514
134945c240
142b476796
151aeda5da
hex11a5f9e0

296090080 has 96 divisors (see below), whose sum is σ = 821868768. Its totient is φ = 99379200.

The previous prime is 296090059. The next prime is 296090089. The reversal of 296090080 is 80090692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296090089) 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, 16410 + ... + 29350.

It is an arithmetic number, because the mean of its divisors is an integer number (8561133).

Almost surely, 2296090080 is an apocalyptic number.

296090080 is a gapful number since it is divisible by the number (20) 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 296090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410934384).

296090080 is an abundant number, since it is smaller than the sum of its proper divisors (525778688).

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

296090080 is a wasteful number, since it uses less digits than its factorization.

296090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980 (or 12972 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 296090080 is about 17207.2682317676. The cubic root of 296090080 is about 666.5119685500.

The spelling of 296090080 in words is "two hundred ninety-six million, ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 12941 22880 25882 51764 64705 103528 129410 142351 168233 207056 258820 284702 336466 414112 517640 569404 672932 711755 841165 1035280 1138808 1345864 1423510 1682330 1850563 2070560 2277616 2691728 2847020 3364660 3701126 4555232 5383456 5694040 6729320 7402252 9252815 11388080 13458640 14804504 18505630 22776160 26917280 29609008 37011260 59218016 74022520 148045040 296090080