Search a number
-
+
1140022020 = 223543736053
BaseRepresentation
bin100001111110011…
…0101101100000100
32221110011010012210
41003330311230010
54313321201040
6305042343420
740152012234
oct10374655404
92843133183
101140022020
11535570465
1227995ab70
13152254557
14ab599cc4
156a13e480
hex43f35b04

1140022020 has 96 divisors (see below), whose sum is σ = 3311586432. Its totient is φ = 292819968.

The previous prime is 1140022001. The next prime is 1140022027. The reversal of 1140022020 is 202200411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1140021987 and 1140022005.

It is not an unprimeable number, because it can be changed into a prime (1140022027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185314 + ... + 191366.

It is an arithmetic number, because the mean of its divisors is an integer number (34495692).

Almost surely, 21140022020 is an apocalyptic number.

1140022020 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 1140022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655793216).

1140022020 is an abundant number, since it is smaller than the sum of its proper divisors (2171564412).

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

1140022020 is a wasteful number, since it uses less digits than its factorization.

1140022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1140022020 is about 33764.2121187508. The cubic root of 1140022020 is about 1044.6506528197.

Adding to 1140022020 its reverse (202200411), we get a palindrome (1342222431).

The spelling of 1140022020 in words is "one billion, one hundred forty million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 73 86 129 146 172 215 219 258 292 365 430 438 516 645 730 860 876 1095 1290 1460 2190 2580 3139 4380 6053 6278 9417 12106 12556 15695 18159 18834 24212 30265 31390 36318 37668 47085 60530 62780 72636 90795 94170 121060 181590 188340 260279 363180 441869 520558 780837 883738 1041116 1301395 1325607 1561674 1767476 2209345 2602790 2651214 3123348 3904185 4418690 5205580 5302428 6628035 7808370 8837380 13256070 15616740 19000367 26512140 38000734 57001101 76001468 95001835 114002202 190003670 228004404 285005505 380007340 570011010 1140022020