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1106116340 = 225718143651
BaseRepresentation
bin100000111101101…
…1111111011110100
32212002100112100212
41001323133323310
54231131210330
6301431524552
736260555660
oct10173377364
92762315325
101106116340
1151841263a
1226a529758
13148212914
14a6c918a0
1567193295
hex41edfef4

1106116340 has 48 divisors (see below), whose sum is σ = 2669407104. Its totient is φ = 377136000.

The previous prime is 1106116321. The next prime is 1106116357. The reversal of 1106116340 is 436116011.

It is a super-2 number, since 2×11061163402 = 2446986715229991200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3515 + ... + 47165.

It is an arithmetic number, because the mean of its divisors is an integer number (55612648).

Almost surely, 21106116340 is an apocalyptic number.

1106116340 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 1106116340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334703552).

1106116340 is an abundant number, since it is smaller than the sum of its proper divisors (1563290764).

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

1106116340 is a wasteful number, since it uses less digits than its factorization.

1106116340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43848 (or 43846 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1106116340 is about 33258.3273782672. The cubic root of 1106116340 is about 1034.1898457577.

The spelling of 1106116340 in words is "one billion, one hundred six million, one hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 25340 43651 87302 174604 218255 305557 436510 611114 873020 1222228 1527785 3055570 6111140 7900831 15801662 31603324 39504155 55305817 79008310 110611634 158016620 221223268 276529085 553058170 1106116340