Search a number
-
+
296878080 = 21735151
BaseRepresentation
bin10001101100100…
…000000000000000
3202200121222011110
4101230200000000
51102000044310
645243043320
710233264522
oct2154400000
9680558143
10296878080
11142641994
1283510540
1349676b05
142b5dda12
151b0e3d20
hex11b20000

296878080 has 144 divisors (see below), whose sum is σ = 956297664. Its totient is φ = 78643200.

The previous prime is 296878073. The next prime is 296878117. The reversal of 296878080 is 80878692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966005 + ... + 1966155.

It is an arithmetic number, because the mean of its divisors is an integer number (6640956).

Almost surely, 2296878080 is an apocalyptic number.

296878080 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 296878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478148832).

296878080 is an abundant number, since it is smaller than the sum of its proper divisors (659419584).

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

296878080 is an frugal number, since it uses more digits than its factorization.

296878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 296878080 is about 17230.1503185550. The cubic root of 296878080 is about 667.1027191696.

The spelling of 296878080 in words is "two hundred ninety-six million, eight hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 151 160 192 240 256 302 320 384 453 480 512 604 640 755 768 906 960 1024 1208 1280 1510 1536 1812 1920 2048 2265 2416 2560 3020 3072 3624 3840 4096 4530 4832 5120 6040 6144 7248 7680 8192 9060 9664 10240 12080 12288 14496 15360 16384 18120 19328 20480 24160 24576 28992 30720 32768 36240 38656 40960 48320 49152 57984 61440 65536 72480 77312 81920 96640 98304 115968 122880 131072 144960 154624 163840 193280 196608 231936 245760 289920 309248 327680 386560 393216 463872 491520 579840 618496 655360 773120 927744 983040 1159680 1236992 1546240 1855488 1966080 2319360 2473984 3092480 3710976 4638720 4947968 6184960 7421952 9277440 9895936 12369920 14843904 18554880 19791872 24739840 29687808 37109760 49479680 59375616 74219520 98959360 148439040 296878080