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1158099072 = 273131391669
BaseRepresentation
bin100010100000111…
…0011000010000000
32222201011112021020
41011001303002000
54332433132242
6310530025440
740461452064
oct10501630200
92881145236
101158099072
11544797a79
12283a18280
13155c13630
14adb43aa4
156ba106ec
hex45073080

1158099072 has 128 divisors (see below), whose sum is σ = 3338664000. Its totient is φ = 353562624.

The previous prime is 1158099067. The next prime is 1158099097. The reversal of 1158099072 is 2709908511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11580990722 = 2682386921134522368, which contains 22 as substring.

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, 693054 + ... + 694722.

Almost surely, 21158099072 is an apocalyptic number.

1158099072 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 1158099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669332000).

1158099072 is an abundant number, since it is smaller than the sum of its proper divisors (2180564928).

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

1158099072 is a wasteful number, since it uses less digits than its factorization.

1158099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 1158099072 is about 34030.8547056932. The cubic root of 1158099072 is about 1050.1433128649.

The spelling of 1158099072 in words is "one billion, one hundred fifty-eight million, ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 139 156 192 208 278 312 384 416 417 556 624 832 834 1112 1248 1664 1668 1669 1807 2224 2496 3336 3338 3614 4448 4992 5007 5421 6672 6676 7228 8896 10014 10842 13344 13352 14456 17792 20028 21684 21697 26688 26704 28912 40056 43368 43394 53376 53408 57824 65091 80112 86736 86788 106816 115648 130182 160224 173472 173576 213632 231296 231991 260364 320448 346944 347152 463982 520728 640896 693888 694304 695973 927964 1041456 1388608 1391946 1855928 2082912 2777216 2783892 3015883 3711856 4165824 5567784 6031766 7423712 8331648 9047649 11135568 12063532 14847424 18095298 22271136 24127064 29694848 36190596 44542272 48254128 72381192 89084544 96508256 144762384 193016512 289524768 386033024 579049536 1158099072