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1133140140 = 22325111633511
BaseRepresentation
bin100001110001010…
…0101100010101100
32220222012111001100
41003202211202230
54310040441030
6304235043100
740036350366
oct10342454254
92828174040
101133140140
1153169aa60
122775a0490
131509b5032
14aa6c7d36
1569730360
hex438a58ac

1133140140 has 144 divisors (see below), whose sum is σ = 3773742336. Its totient is φ = 272937600.

The previous prime is 1133140081. The next prime is 1133140147. The reversal of 1133140140 is 410413311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1133140147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320985 + ... + 324495.

It is an arithmetic number, because the mean of its divisors is an integer number (26206544).

Almost surely, 21133140140 is an apocalyptic number.

1133140140 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 1133140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886871168).

1133140140 is an abundant number, since it is smaller than the sum of its proper divisors (2640602196).

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

1133140140 is a wasteful number, since it uses less digits than its factorization.

1133140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1133140140 is about 33662.1469903510. The cubic root of 1133140140 is about 1042.5443557202.

Adding to 1133140140 its reverse (410413311), we get a palindrome (1543553451).

The spelling of 1133140140 in words is "one billion, one hundred thirty-three million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 163 165 180 198 220 326 330 396 489 495 652 660 815 978 990 1467 1630 1793 1956 1980 2445 2934 3260 3511 3586 4890 5379 5868 7022 7172 7335 8965 9780 10533 10758 14044 14670 16137 17555 17930 21066 21516 26895 29340 31599 32274 35110 35860 38621 42132 52665 53790 63198 64548 70220 77242 80685 105330 107580 115863 126396 154484 157995 161370 193105 210660 231726 315990 322740 347589 386210 463452 572293 579315 631980 695178 772420 1144586 1158630 1390356 1716879 1737945 2289172 2317260 2861465 3433758 3475890 5150637 5722930 6295223 6867516 6951780 8584395 10301274 11445860 12590446 17168790 18885669 20602548 25180892 25753185 31476115 34337580 37771338 51506370 56657007 62952230 75542676 94428345 103012740 113314014 125904460 188856690 226628028 283285035 377713380 566570070 1133140140