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1299010272 = 25377924469
BaseRepresentation
bin100110101101101…
…0101001011100000
310100112022120002120
41031123111023200
510130021312042
6332522144240
744122255650
oct11533251340
93315276076
101299010272
1160729170a
12303052080
1317917c641
14c4744360
1579096dec
hex4d6d52e0

1299010272 has 96 divisors (see below), whose sum is σ = 3946521600. Its totient is φ = 366432768.

The previous prime is 1299010213. The next prime is 1299010301. The reversal of 1299010272 is 2720109921.

It is a tau number, because it is divible by the number of its divisors (96).

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, 40854 + ... + 65322.

It is an arithmetic number, because the mean of its divisors is an integer number (41109600).

Almost surely, 21299010272 is an apocalyptic number.

1299010272 is a gapful number since it is divisible by the number (12) 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 1299010272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973260800).

1299010272 is an abundant number, since it is smaller than the sum of its proper divisors (2647511328).

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

1299010272 is a wasteful number, since it uses less digits than its factorization.

1299010272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24568 (or 24560 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1299010272 is about 36041.7850834278. The cubic root of 1299010272 is about 1091.1158429749.

The spelling of 1299010272 in words is "one billion, two hundred ninety-nine million, ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 3318 3792 4424 6636 7584 8848 13272 17696 24469 26544 48938 53088 73407 97876 146814 171283 195752 293628 342566 391504 513849 587256 685132 783008 1027698 1174512 1370264 1933051 2055396 2349024 2740528 3866102 4110792 5481056 5799153 7732204 8221584 11598306 13531357 15464408 16443168 23196612 27062714 30928816 40594071 46393224 54125428 61857632 81188142 92786448 108250856 162376284 185572896 216501712 324752568 433003424 649505136 1299010272