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11620042080 = 253536765963
BaseRepresentation
bin10101101001001101…
…11100010101100000
31002222211011022001220
422310212330111200
5142244212321310
65201013455040
7560645504463
oct126446742540
932884138056
1011620042080
114a23235669
122303641480
13113251c85a
147c33932da
1548021a670
hex2b49bc560

11620042080 has 96 divisors (see below), whose sum is σ = 36703425024. Its totient is φ = 3090187776.

The previous prime is 11620042043. The next prime is 11620042087. The reversal of 11620042080 is 8024002611.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11620042080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11620042087) 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, 143179 + ... + 209141.

It is an arithmetic number, because the mean of its divisors is an integer number (382327344).

Almost surely, 211620042080 is an apocalyptic number.

11620042080 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 11620042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18351712512).

11620042080 is an abundant number, since it is smaller than the sum of its proper divisors (25083382944).

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

11620042080 is a wasteful number, since it uses less digits than its factorization.

11620042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66348 (or 66340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11620042080 its reverse (8024002611), we get a palindrome (19644044691).

The spelling of 11620042080 in words is "eleven billion, six hundred twenty million, forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 367 480 734 1101 1468 1835 2202 2936 3670 4404 5505 5872 7340 8808 11010 11744 14680 17616 22020 29360 35232 44040 58720 65963 88080 131926 176160 197889 263852 329815 395778 527704 659630 791556 989445 1055408 1319260 1583112 1978890 2110816 2638520 3166224 3957780 5277040 6332448 7915560 10554080 15831120 24208421 31662240 48416842 72625263 96833684 121042105 145250526 193667368 242084210 290501052 363126315 387334736 484168420 581002104 726252630 774669472 968336840 1162004208 1452505260 1936673680 2324008416 2905010520 3873347360 5810021040 11620042080