Search a number
-
+
1199213680 = 24577927107
BaseRepresentation
bin100011101111010…
…1000110001110000
310002120112100220111
41013132220301300
54423444314210
6314555151104
741501101540
oct10736506160
93076470814
101199213680
11565a19a95
12295745494
131615aa5c2
14b53a7320
157043288a
hex477a8c70

1199213680 has 80 divisors (see below), whose sum is σ = 3226936320. Its totient is φ = 405939456.

The previous prime is 1199213651. The next prime is 1199213681. The reversal of 1199213680 is 863129911.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11992136802 = 2876226900598284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1199213681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30687 + ... + 57793.

It is an arithmetic number, because the mean of its divisors is an integer number (40336704).

Almost surely, 21199213680 is an apocalyptic number.

1199213680 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 1199213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613468160).

1199213680 is an abundant number, since it is smaller than the sum of its proper divisors (2027722640).

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

1199213680 is a wasteful number, since it uses less digits than its factorization.

1199213680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27206 (or 27200 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 1199213680 is about 34629.6647399307. The cubic root of 1199213680 is about 1062.4264102204.

The spelling of 1199213680 in words is "one billion, one hundred ninety-nine million, two hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 395 553 560 632 790 1106 1264 1580 2212 2765 3160 4424 5530 6320 8848 11060 22120 27107 44240 54214 108428 135535 189749 216856 271070 379498 433712 542140 758996 948745 1084280 1517992 1897490 2141453 2168560 3035984 3794980 4282906 7589960 8565812 10707265 14990171 15179920 17131624 21414530 29980342 34263248 42829060 59960684 74950855 85658120 119921368 149901710 171316240 239842736 299803420 599606840 1199213680