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1106240200 = 2352132231423
BaseRepresentation
bin100000111101111…
…1110001011001000
32212002120211021021
41001323332023020
54231144141300
6301434322224
736261613042
oct10173761310
92762524237
101106240200
115184976aa
1226a589374
13148257100
14a6cc4a92
15671b9d1a
hex41efe2c8

1106240200 has 144 divisors (see below), whose sum is σ = 2908206720. Its totient is φ = 390424320.

The previous prime is 1106240197. The next prime is 1106240203. The reversal of 1106240200 is 20426011.

It is an interprime number because it is at equal distance from previous prime (1106240197) and next prime (1106240203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106240203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776689 + ... + 778111.

It is an arithmetic number, because the mean of its divisors is an integer number (20195880).

Almost surely, 21106240200 is an apocalyptic number.

1106240200 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 1106240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454103360).

1106240200 is an abundant number, since it is smaller than the sum of its proper divisors (1801966520).

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

1106240200 is a wasteful number, since it uses less digits than its factorization.

1106240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1106240200 is about 33260.1894161774. The cubic root of 1106240200 is about 1034.2284462703.

Adding to 1106240200 its reverse (20426011), we get a palindrome (1126666211).

The spelling of 1106240200 in words is "one billion, one hundred six million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 169 184 200 230 260 299 325 338 460 520 575 598 650 676 845 920 1150 1196 1300 1352 1423 1495 1690 2300 2392 2600 2846 2990 3380 3887 4225 4600 5692 5980 6760 7115 7475 7774 8450 11384 11960 14230 14950 15548 16900 18499 19435 28460 29900 31096 32729 33800 35575 36998 38870 56920 59800 65458 71150 73996 77740 92495 97175 130916 142300 147992 155480 163645 184990 194350 240487 261832 284600 327290 369980 388700 425477 462475 480974 654580 739960 777400 818225 850954 924950 961948 1202435 1309160 1636450 1701908 1849900 1923896 2127385 2404870 3272900 3403816 3699800 4254770 4809740 5531201 6012175 6545800 8509540 9619480 10636925 11062402 12024350 17019080 21273850 22124804 24048700 27656005 42547700 44249608 48097400 55312010 85095400 110624020 138280025 221248040 276560050 553120100 1106240200