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1106514420 = 2235114735671
BaseRepresentation
bin100000111110100…
…0001000111110100
32212010002202102120
41001331001013310
54231231430140
6301444235540
736264134364
oct10175010764
92763082376
101106514420
11518664730
1226a69bbb0
13148321b7b
14a6d569a4
15672211d0
hex41f411f4

1106514420 has 96 divisors (see below), whose sum is σ = 3451908096. Its totient is φ = 262531200.

The previous prime is 1106514413. The next prime is 1106514433. The reversal of 1106514420 is 244156011.

It is a happy number.

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, 13185 + ... + 48855.

It is an arithmetic number, because the mean of its divisors is an integer number (35957376).

Almost surely, 21106514420 is an apocalyptic number.

1106514420 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 1106514420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725954048).

1106514420 is an abundant number, since it is smaller than the sum of its proper divisors (2345393676).

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

1106514420 is a wasteful number, since it uses less digits than its factorization.

1106514420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35741 (or 35739 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1106514420 is about 33264.3115064779. The cubic root of 1106514420 is about 1034.3138956733.

The spelling of 1106514420 in words is "one billion, one hundred six million, five hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 15510 31020 35671 71342 107013 142684 178355 214026 356710 392381 428052 535065 713420 784762 1070130 1177143 1569524 1676537 1961905 2140260 2354286 3353074 3923810 4708572 5029611 5885715 6706148 7847620 8382685 10059222 11771430 16765370 18441907 20118444 23542860 25148055 33530740 36883814 50296110 55325721 73767628 92209535 100592220 110651442 184419070 221302884 276628605 368838140 553257210 1106514420