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682913010 = 2351319234007
BaseRepresentation
bin101000101101000…
…110110011110010
31202121000120112110
4220231012303302
52344311204020
6151433110150
722631444013
oct5055066362
91677016473
10682913010
1132053971a
12170858356
13ab638b50
14669ab00a
153ee498e0
hex28b46cf2

682913010 has 128 divisors (see below), whose sum is σ = 1939230720. Its totient is φ = 152292096.

The previous prime is 682913009. The next prime is 682913047. The reversal of 682913010 is 10319286.

682913010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168427 + ... + 172433.

It is an arithmetic number, because the mean of its divisors is an integer number (15150240).

Almost surely, 2682913010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682913010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969615360).

682913010 is an abundant number, since it is smaller than the sum of its proper divisors (1256317710).

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

682913010 is a wasteful number, since it uses less digits than its factorization.

682913010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 682913010 is about 26132.6043478257. The cubic root of 682913010 is about 880.6198327708.

The spelling of 682913010 in words is "six hundred eighty-two million, nine hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 19 23 26 30 38 39 46 57 65 69 78 95 114 115 130 138 190 195 230 247 285 299 345 390 437 494 570 598 690 741 874 897 1235 1311 1482 1495 1794 2185 2470 2622 2990 3705 4007 4370 4485 5681 6555 7410 8014 8970 11362 12021 13110 17043 20035 24042 28405 34086 40070 52091 56810 60105 76133 85215 92161 104182 120210 152266 156273 170430 184322 228399 260455 276483 312546 380665 456798 460805 520910 552966 761330 781365 921610 989729 1141995 1198093 1382415 1562730 1751059 1979458 2283990 2396186 2764830 2969187 3502118 3594279 4948645 5253177 5938374 5990465 7188558 8755295 9897290 10506354 11980930 14845935 17510590 17971395 22763767 26265885 29691870 35942790 45527534 52531770 68291301 113818835 136582602 227637670 341456505 682913010