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468231960 = 233571015519
BaseRepresentation
bin11011111010001…
…010011100011000
31012122001122111110
4123322022130120
51424331410320
6114243500320
714413622520
oct3372123430
91178048443
10468231960
11220339669
121109876a0
1376011441
1446286680
152b1905e0
hex1be8a718

468231960 has 128 divisors (see below), whose sum is σ = 1621555200. Its totient is φ = 105945600.

The previous prime is 468231947. The next prime is 468231971. The reversal of 468231960 is 69132864.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82081 + ... + 87599.

It is an arithmetic number, because the mean of its divisors is an integer number (12668400).

Almost surely, 2468231960 is an apocalyptic number.

468231960 is a gapful number since it is divisible by the number (40) 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 468231960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810777600).

468231960 is an abundant number, since it is smaller than the sum of its proper divisors (1153323240).

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

468231960 is a wasteful number, since it uses less digits than its factorization.

468231960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 468231960 is about 21638.6681660402. The cubic root of 468231960 is about 776.5218573207.

The spelling of 468231960 in words is "four hundred sixty-eight million, two hundred thirty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 808 840 1010 1212 1414 1515 2020 2121 2424 2828 3030 3535 4040 4242 5519 5656 6060 7070 8484 10605 11038 12120 14140 16557 16968 21210 22076 27595 28280 33114 38633 42420 44152 55190 66228 77266 82785 84840 110380 115899 132456 154532 165570 193165 220760 231798 309064 331140 386330 463596 557419 579495 662280 772660 927192 1114838 1158990 1545320 1672257 2229676 2317980 2787095 3344514 3901933 4459352 4635960 5574190 6689028 7803866 8361285 11148380 11705799 13378056 15607732 16722570 19509665 22296760 23411598 31215464 33445140 39019330 46823196 58528995 66890280 78038660 93646392 117057990 156077320 234115980 468231960