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685692540 = 223551310853
BaseRepresentation
bin101000110111101…
…101011001111100
31202210020210100000
4220313231121330
52401014130130
6152012434300
722664201421
oct5067553174
91683223300
10685692540
11322067a55
12171778990
13ac0a0040
14670d1d48
15402e8260
hex28ded67c

685692540 has 144 divisors (see below), whose sum is σ = 2323103328. Its totient is φ = 168770304.

The previous prime is 685692533. The next prime is 685692563. The reversal of 685692540 is 45296586.

685692540 is a `hidden beast` number, since 68 + 569 + 25 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57754 + ... + 68606.

It is an arithmetic number, because the mean of its divisors is an integer number (16132662).

Almost surely, 2685692540 is an apocalyptic number.

685692540 is a gapful number since it is divisible by the number (60) 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 685692540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161551664).

685692540 is an abundant number, since it is smaller than the sum of its proper divisors (1637410788).

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

685692540 is a wasteful number, since it uses less digits than its factorization.

685692540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10890 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 685692540 is about 26185.7316109365. The cubic root of 685692540 is about 881.8129549219.

The spelling of 685692540 in words is "six hundred eighty-five million, six hundred ninety-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 10853 12636 15795 21060 21706 31590 32559 43412 54265 63180 65118 97677 108530 130236 141089 162795 195354 217060 282178 293031 325590 390708 423267 488385 564356 586062 651180 705445 846534 879093 976770 1172124 1269801 1410890 1465155 1693068 1758186 1953540 2116335 2539602 2637279 2821780 2930310 3516372 3809403 4232670 4395465 5079204 5274558 5860620 6349005 7618806 8465340 8790930 10549116 11428209 12698010 13186395 15237612 17581860 19047015 22856418 25396020 26372790 34284627 38094030 45712836 52745580 57141045 68569254 76188060 114282090 137138508 171423135 228564180 342846270 685692540