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1163199408 = 243717320011
BaseRepresentation
bin100010101010101…
…0000001110110000
310000001202122121120
41011111100032300
54340234340113
6311231222240
740553013630
oct10525201660
93001678546
101163199408
11547660a28
12285677980
13156caac97
14b06b06c0
156c1bba23
hex455503b0

1163199408 has 80 divisors (see below), whose sum is σ = 3454231296. Its totient is φ = 330405120.

The previous prime is 1163199403. The next prime is 1163199409. The reversal of 1163199408 is 8049913611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1163199408.

It is not an unprimeable number, because it can be changed into a prime (1163199403) 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, 48123 + ... + 68133.

Almost surely, 21163199408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1163199408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727115648).

1163199408 is an abundant number, since it is smaller than the sum of its proper divisors (2291031888).

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

1163199408 is a wasteful number, since it uses less digits than its factorization.

1163199408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20202 (or 20196 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1163199408 is about 34105.7093167698. The cubic root of 1163199408 is about 1051.6826860842.

The spelling of 1163199408 in words is "one billion, one hundred sixty-three million, one hundred ninety-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 7266 8304 9688 14532 19376 20011 29064 40022 58128 60033 80044 120066 140077 160088 240132 280154 320176 420231 480264 560308 840462 960528 1120616 1680924 2241232 3361848 3461903 6723696 6923806 10385709 13847612 20771418 24233321 27695224 41542836 48466642 55390448 72699963 83085672 96933284 145399926 166171344 193866568 290799852 387733136 581599704 1163199408