Search a number
-
+
1105752144 = 243731532003
BaseRepresentation
bin100000111101000…
…0111000001010000
32212001200000210010
41001322013001100
54231033032034
6301420034520
736254511120
oct10172070120
92761600703
101105752144
11518193a52
1226a392a40
13148115c13
14a6bd8c80
15671203e9
hex41e87050

1105752144 has 160 divisors (see below), whose sum is σ = 3435208704. Its totient is φ = 299819520.

The previous prime is 1105752143. The next prime is 1105752149. The reversal of 1105752144 is 4412575011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105752143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551047 + ... + 553049.

Almost surely, 21105752144 is an apocalyptic number.

1105752144 is a gapful number since it is divisible by the number (14) 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 1105752144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717604352).

1105752144 is an abundant number, since it is smaller than the sum of its proper divisors (2329456560).

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

1105752144 is a wasteful number, since it uses less digits than its factorization.

1105752144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 1105752144 is about 33252.8516671879. The cubic root of 1105752144 is about 1034.0763287201.

The spelling of 1105752144 in words is "one billion, one hundred five million, seven hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 53 56 62 84 93 106 112 124 159 168 186 212 217 248 318 336 371 372 424 434 496 636 651 742 744 848 868 1113 1272 1302 1484 1488 1643 1736 2003 2226 2544 2604 2968 3286 3472 4006 4452 4929 5208 5936 6009 6572 8012 8904 9858 10416 11501 12018 13144 14021 16024 17808 19716 23002 24036 26288 28042 32048 34503 39432 42063 46004 48072 56084 62093 69006 78864 84126 92008 96144 106159 112168 124186 138012 168252 184016 186279 212318 224336 248372 276024 318477 336504 372558 424636 434651 496744 552048 636954 673008 743113 745116 849272 869302 993488 1273908 1303953 1486226 1490232 1698544 1738604 2229339 2547816 2607906 2972452 2980464 3290929 3477208 4458678 5095632 5215812 5944904 6581858 6954416 8917356 9872787 10431624 11889808 13163716 17834712 19745574 20863248 23036503 26327432 35669424 39491148 46073006 52654864 69109509 78982296 92146012 138219018 157964592 184292024 276438036 368584048 552876072 1105752144