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1050134220 = 223551731249
BaseRepresentation
bin111110100101111…
…100011011001100
32201012000100100000
4332211330123030
54122313243340
6252112004300
735010664542
oct7645743314
92635010300
101050134220
11499856423
12253830690
131397416c5
149d67bd92
15622d5d30
hex3e97c6cc

1050134220 has 144 divisors (see below), whose sum is σ = 3325140000. Its totient is φ = 278194176.

The previous prime is 1050134219. The next prime is 1050134227. The reversal of 1050134220 is 224310501.

It is a super-2 number, since 2×10501342202 = 2205563760030016800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1050134193 and 1050134202.

It is not an unprimeable number, because it can be changed into a prime (1050134227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840156 + ... + 841404.

It is an arithmetic number, because the mean of its divisors is an integer number (23091250).

Almost surely, 21050134220 is an apocalyptic number.

1050134220 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 1050134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662570000).

1050134220 is an abundant number, since it is smaller than the sum of its proper divisors (2275005780).

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

1050134220 is a wasteful number, since it uses less digits than its factorization.

1050134220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1050134220 is about 32405.7744854216. The cubic root of 1050134220 is about 1016.4396631344.

Adding to 1050134220 its reverse (224310501), we get a palindrome (1274444721).

The spelling of 1050134220 in words is "one billion, fifty million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 173 180 243 270 324 346 405 486 519 540 692 810 865 972 1038 1215 1249 1557 1620 1730 2076 2430 2498 2595 3114 3460 3747 4671 4860 4996 5190 6228 6245 7494 7785 9342 10380 11241 12490 14013 14988 15570 18684 18735 22482 23355 24980 28026 31140 33723 37470 42039 44964 46710 56052 56205 67446 70065 74940 84078 93420 101169 112410 134892 140130 168156 168615 202338 210195 216077 224820 280260 303507 337230 404676 420390 432154 505845 607014 648231 674460 840780 864308 1011690 1080385 1214028 1296462 1517535 1944693 2023380 2160770 2592924 3035070 3241155 3889386 4321540 5834079 6070140 6482310 7778772 9723465 11668158 12964620 17502237 19446930 23336316 29170395 35004474 38893860 52506711 58340790 70008948 87511185 105013422 116681580 175022370 210026844 262533555 350044740 525067110 1050134220