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1016140230 = 232572323049
BaseRepresentation
bin111100100100010…
…001000111000110
32121211001021100100
4330210101013012
54040112441410
6244455224530
734116022650
oct7444210706
92554037310
101016140230
11481648216
12244378146
1313269b811
1498d4d6d0
155e31d8c0
hex3c9111c6

1016140230 has 144 divisors (see below), whose sum is σ = 3157408800. Its totient is φ = 222089472.

The previous prime is 1016140189. The next prime is 1016140231. The reversal of 1016140230 is 320416101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016140231) 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 71 ways as a sum of consecutive naturals, for example, 331746 + ... + 334794.

It is an arithmetic number, because the mean of its divisors is an integer number (21926450).

Almost surely, 21016140230 is an apocalyptic number.

1016140230 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 1016140230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578704400).

1016140230 is an abundant number, since it is smaller than the sum of its proper divisors (2141268570).

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

1016140230 is a wasteful number, since it uses less digits than its factorization.

1016140230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3089 counting only the distinct ones).

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

The square root of 1016140230 is about 31876.9545283109. The cubic root of 1016140230 is about 1005.3513882275.

Adding to 1016140230 its reverse (320416101), we get a palindrome (1336556331).

It can be divided in two parts, 1016 and 140230, that added together give a triangular number (141246 = T531).

The spelling of 1016140230 in words is "one billion, sixteen million, one hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 529 630 690 805 966 1035 1058 1449 1587 1610 2070 2415 2645 2898 3049 3174 3703 4761 4830 5290 6098 7245 7406 7935 9147 9522 11109 14490 15245 15870 18294 18515 21343 22218 23805 27441 30490 33327 37030 42686 45735 47610 54882 55545 64029 66654 70127 91470 106715 111090 128058 137205 140254 166635 192087 210381 213430 274410 320145 333270 350635 384174 420762 490889 631143 640290 701270 960435 981778 1051905 1262286 1472667 1612921 1920870 2103810 2454445 2945334 3155715 3225842 4418001 4838763 4908890 6311430 7363335 8064605 8836002 9677526 11290447 14516289 14726670 16129210 22090005 22580894 24193815 29032578 33871341 44180010 48387630 56452235 67742682 72581445 101614023 112904470 145162890 169356705 203228046 338713410 508070115 1016140230