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1429313280 = 28353112007
BaseRepresentation
bin101010100110001…
…1001011100000000
310200121111122012220
41111030121130000
510411401011110
6353455051040
750263651053
oct12514313400
93617448186
101429313280
116738a024a
1233a810a80
1319a173005
14d7b82a9a
1585735370
hex55319700

1429313280 has 144 divisors (see below), whose sum is σ = 4712515584. Its totient is φ = 368824320.

The previous prime is 1429313273. The next prime is 1429313297. The reversal of 1429313280 is 823139241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113037 + ... + 125043.

Almost surely, 21429313280 is an apocalyptic number.

1429313280 is a gapful number since it is divisible by the number (10) 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 1429313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356257792).

1429313280 is an abundant number, since it is smaller than the sum of its proper divisors (3283202304).

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

1429313280 is a wasteful number, since it uses less digits than its factorization.

1429313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12062 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1429313280 is about 37806.2597991391. The cubic root of 1429313280 is about 1126.4427987138.

The spelling of 1429313280 in words is "one billion, four hundred twenty-nine million, three hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11904 12007 14880 19840 23808 24014 29760 36021 39680 48028 59520 60035 72042 96056 119040 120070 144084 180105 192112 240140 288168 360210 372217 384224 480280 576336 720420 744434 768448 960560 1116651 1152672 1440840 1488868 1536896 1861085 1921120 2233302 2305344 2881680 2977736 3073792 3722170 3842240 4466604 4610688 5583255 5763360 5955472 7444340 7684480 8933208 9221376 11166510 11526720 11910944 14888680 15368960 17866416 22333020 23053440 23821888 29777360 35732832 44666040 46106880 47643776 59554720 71465664 89332080 95287552 119109440 142931328 178664160 238218880 285862656 357328320 476437760 714656640 1429313280