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687274380 = 22325131392113
BaseRepresentation
bin101000111101101…
…111100110001100
31202220020011012200
4220331233212030
52401420240010
6152110401500
723013510252
oct5075574614
91686204180
10687274380
11322a48461
12172200290
13ac505040
14673c45d2
154050bcc0
hex28f6f98c

687274380 has 144 divisors (see below), whose sum is σ = 2262318240. Its totient is φ = 167878656.

The previous prime is 687274363. The next prime is 687274381. The reversal of 687274380 is 83472786.

It is a happy number.

It is a super-3 number, since 3×6872743803 (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (687274381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324204 + ... + 326316.

Almost surely, 2687274380 is an apocalyptic number.

687274380 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 687274380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131159120).

687274380 is an abundant number, since it is smaller than the sum of its proper divisors (1575043860).

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

687274380 is a wasteful number, since it uses less digits than its factorization.

687274380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 687274380 is about 26215.9184466232. The cubic root of 687274380 is about 882.4905257298.

The spelling of 687274380 in words is "six hundred eighty-seven million, two hundred seventy-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 139 156 180 195 234 260 278 390 417 468 556 585 695 780 834 1170 1251 1390 1668 1807 2085 2113 2340 2502 2780 3614 4170 4226 5004 5421 6255 6339 7228 8340 8452 9035 10565 10842 12510 12678 16263 18070 19017 21130 21684 25020 25356 27105 27469 31695 32526 36140 38034 42260 54210 54938 63390 65052 76068 81315 82407 95085 108420 109876 126780 137345 162630 164814 190170 247221 274690 293707 325260 329628 380340 412035 494442 549380 587414 824070 881121 988884 1174828 1236105 1468535 1648140 1762242 2472210 2643363 2937070 3524484 3818191 4405605 4944420 5286726 5874140 7636382 8811210 10573452 11454573 13216815 15272764 17622420 19090955 22909146 26433630 34363719 38181910 45818292 52867260 57272865 68727438 76363820 114545730 137454876 171818595 229091460 343637190 687274380