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11199720 = 2335767199
BaseRepresentation
bin101010101110…
…010011101000
3210002000010110
4222232103220
510331342340
61040014320
7164124150
oct52562350
923060113
1011199720
11635a574
1239013a0
13242196c
1416b7760
15eb3680
hexaae4e8

11199720 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 2509056.

The previous prime is 11199709. The next prime is 11199731. The reversal of 11199720 is 2799111.

11199720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11199709) and next prime (11199731).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56181 + ... + 56379.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 211199720 is an apocalyptic number.

11199720 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 11199720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

11199720 is an abundant number, since it is smaller than the sum of its proper divisors (27968280).

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

11199720 is a wasteful number, since it uses less digits than its factorization.

11199720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 11199720 is about 3346.5982728735. The cubic root of 11199720 is about 223.7359239192.

The spelling of 11199720 in words is "eleven million, one hundred ninety-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 199 201 210 268 280 335 398 402 420 469 536 597 670 796 804 840 938 995 1005 1194 1340 1393 1407 1592 1608 1876 1990 2010 2345 2388 2680 2786 2814 2985 3752 3980 4020 4179 4690 4776 5572 5628 5970 6965 7035 7960 8040 8358 9380 11144 11256 11940 13333 13930 14070 16716 18760 20895 23880 26666 27860 28140 33432 39999 41790 53332 55720 56280 66665 79998 83580 93331 106664 133330 159996 167160 186662 199995 266660 279993 319992 373324 399990 466655 533320 559986 746648 799980 933310 1119972 1399965 1599960 1866620 2239944 2799930 3733240 5599860 11199720