Search a number
-
+
1010161530 = 234571631093
BaseRepresentation
bin111100001101011…
…101011101111010
32121101210112010000
4330031131131322
54032100132110
6244123133430
734014142230
oct7415353572
92541715100
101010161530
11479234344
12242374276
13131387421
1498234950
155da3c1c0
hex3c35d77a

1010161530 has 160 divisors (see below), whose sum is σ = 3126144384. Its totient is φ = 229267584.

The previous prime is 1010161507. The next prime is 1010161549. The reversal of 1010161530 is 351610101.

1010161530 is a `hidden beast` number, since 10 + 10 + 1 + 615 + 30 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 923664 + ... + 924756.

Almost surely, 21010161530 is an apocalyptic number.

1010161530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010161530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563072192).

1010161530 is an abundant number, since it is smaller than the sum of its proper divisors (2115982854).

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

1010161530 is a wasteful number, since it uses less digits than its factorization.

1010161530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1010161530 is about 31783.0384010088. The cubic root of 1010161530 is about 1003.3757680336.

Adding to 1010161530 its reverse (351610101), we get a palindrome (1361771631).

It can be divided in two parts, 10101 and 61530, that added together give a triangular number (71631 = T378).

The spelling of 1010161530 in words is "one billion, ten million, one hundred sixty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 163 189 210 270 315 326 378 405 489 567 630 810 815 945 978 1093 1134 1141 1467 1630 1890 2186 2282 2445 2835 2934 3279 3423 4401 4890 5465 5670 5705 6558 6846 7335 7651 8802 9837 10269 10930 11410 13203 14670 15302 16395 17115 19674 20538 22005 22953 26406 29511 30807 32790 34230 38255 44010 45906 49185 51345 59022 61614 66015 68859 76510 88533 92421 98370 102690 114765 132030 137718 147555 154035 177066 178159 184842 206577 229530 295110 308070 344295 356318 413154 442665 462105 534477 619731 688590 885330 890795 924210 1032885 1068954 1239462 1247113 1603431 1781590 2065770 2494226 2672385 3098655 3206862 3741339 4810293 5344770 6197310 6235565 7482678 8017155 9620586 11224017 12471130 14430879 16034310 18706695 22448034 24051465 28861758 33672051 37413390 48102930 56120085 67344102 72154395 101016153 112240170 144308790 168360255 202032306 336720510 505080765 1010161530