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296714080 = 25513294919
BaseRepresentation
bin10001101011110…
…111111101100000
3202200022122012101
4101223313331200
51101424322310
645235340144
710232012425
oct2153677540
9680278171
10296714080
1114253a753
1283451654
134961a280
142b599d4c
151b0b043a
hex11af7f60

296714080 has 96 divisors (see below), whose sum is σ = 781099200. Its totient is φ = 105756672.

The previous prime is 296713997. The next prime is 296714101. The reversal of 296714080 is 80417692.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57861 + ... + 62779.

It is an arithmetic number, because the mean of its divisors is an integer number (8136450).

Almost surely, 2296714080 is an apocalyptic number.

296714080 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 296714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390549600).

296714080 is an abundant number, since it is smaller than the sum of its proper divisors (484385120).

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

296714080 is a wasteful number, since it uses less digits than its factorization.

296714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 296714080 is about 17225.3905616099. The cubic root of 296714080 is about 666.9798572889.

The spelling of 296714080 in words is "two hundred ninety-six million, seven hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 4919 6032 7540 9838 12064 15080 19676 24595 30160 39352 49190 60320 63947 78704 98380 127894 142651 157408 196760 255788 285302 319735 393520 511576 570604 639470 713255 787040 1023152 1141208 1278940 1426510 1854463 2046304 2282416 2557880 2853020 3708926 4564832 5115760 5706040 7417852 9272315 10231520 11412080 14835704 18544630 22824160 29671408 37089260 59342816 74178520 148357040 296714080