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680144010 = 235721335591
BaseRepresentation
bin101000100010100…
…010110010001010
31202101210220011220
4220202202302022
52343104102020
6151253502510
722566062100
oct5042426212
91671726156
10680144010
11319a18297
1216b941a36
13aaba96a0
1466489c70
153ea9e240
hex288a2c8a

680144010 has 96 divisors (see below), whose sum is σ = 2044973952. Its totient is φ = 143498880.

The previous prime is 680143967. The next prime is 680144011. The reversal of 680144010 is 10441086.

It is not an unprimeable number, because it can be changed into a prime (680144011) 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 47 ways as a sum of consecutive naturals, for example, 1315 + ... + 36905.

It is an arithmetic number, because the mean of its divisors is an integer number (21301812).

Almost surely, 2680144010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680144010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022486976).

680144010 is an abundant number, since it is smaller than the sum of its proper divisors (1364829942).

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

680144010 is a wasteful number, since it uses less digits than its factorization.

680144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35628 (or 35621 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 680144010 is about 26079.5707403324. The cubic root of 680144010 is about 879.4280072500.

Adding to 680144010 its reverse (10441086), we get a palindrome (690585096).

The spelling of 680144010 in words is "six hundred eighty million, one hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 6370 9555 19110 35591 71182 106773 177955 213546 249137 355910 462683 498274 533865 747411 925366 1067730 1245685 1388049 1494822 1743959 2313415 2491370 2776098 3238781 3487918 3737055 4626830 5231877 6477562 6940245 7474110 8719795 9716343 10463754 13880490 16193905 17439590 19432686 22671467 26159385 32387810 45342934 48581715 52318770 68014401 97163430 113357335 136028802 226714670 340072005 680144010