Search a number
-
+
1190134000 = 245311471151
BaseRepresentation
bin100011011110000…
…0000000011110000
310001221110001221001
41012330000003300
54414133242000
6314032411344
741330654266
oct10674000360
93057401831
101190134000
11560888320
122926a6b54
1315c74b903
14b40c2436
156e73c46a
hex46f000f0

1190134000 has 160 divisors (see below), whose sum is σ = 3208937472. Its totient is φ = 423200000.

The previous prime is 1190133991. The next prime is 1190134003. The reversal of 1190134000 is 4310911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190134003) 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, 1033425 + ... + 1034575.

Almost surely, 21190134000 is an apocalyptic number.

1190134000 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 1190134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604468736).

1190134000 is an abundant number, since it is smaller than the sum of its proper divisors (2018803472).

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

1190134000 is a wasteful number, since it uses less digits than its factorization.

1190134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1190134000 is about 34498.3187996169. The cubic root of 1190134000 is about 1059.7382764300.

Adding to 1190134000 its reverse (4310911), we get a palindrome (1194444911).

The spelling of 1190134000 in words is "one billion, one hundred ninety million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 125 176 188 200 220 235 250 275 376 400 440 470 500 517 550 752 880 940 1000 1034 1100 1151 1175 1375 1880 2000 2068 2200 2302 2350 2585 2750 3760 4136 4400 4604 4700 5170 5500 5755 5875 8272 9208 9400 10340 11000 11510 11750 12661 12925 18416 18800 20680 22000 23020 23500 25322 25850 28775 41360 46040 47000 50644 51700 54097 57550 63305 64625 92080 94000 101288 103400 108194 115100 126610 129250 143875 202576 206800 216388 230200 253220 258500 270485 287750 316525 432776 460400 506440 517000 540970 575500 595067 633050 865552 1012880 1034000 1081940 1151000 1190134 1266100 1352425 1582625 2163880 2302000 2380268 2532200 2704850 2975335 3165250 4327760 4760536 5064400 5409700 5950670 6330500 6762125 9521072 10819400 11901340 12661000 13524250 14876675 21638800 23802680 25322000 27048500 29753350 47605360 54097000 59506700 74383375 108194000 119013400 148766750 238026800 297533500 595067000 1190134000