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687626820 = 22355151937
BaseRepresentation
bin101000111111000…
…101101001000100
31202220220001200000
4220333011221010
52402013024240
6152122121300
723016505626
oct5077055104
91686801600
10687626820
11323169231
12172350230
13ac5c959a
1467476c16
154057b430
hex28fc5a44

687626820 has 144 divisors (see below), whose sum is σ = 2179701888. Its totient is φ = 181958400.

The previous prime is 687626813. The next prime is 687626839. The reversal of 687626820 is 28626786.

It is a happy number.

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

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, 733392 + ... + 734328.

Almost surely, 2687626820 is an apocalyptic number.

687626820 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 687626820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089850944).

687626820 is an abundant number, since it is smaller than the sum of its proper divisors (1492075068).

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

687626820 is a wasteful number, since it uses less digits than its factorization.

687626820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 687626820 is about 26222.6394552494. The cubic root of 687626820 is about 882.6413494375.

The spelling of 687626820 in words is "six hundred eighty-seven million, six hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 151 162 180 243 270 302 324 405 453 486 540 604 755 810 906 937 972 1215 1359 1510 1620 1812 1874 2265 2430 2718 2811 3020 3748 4077 4530 4685 4860 5436 5622 6795 8154 8433 9060 9370 11244 12231 13590 14055 16308 16866 18740 20385 24462 25299 27180 28110 33732 36693 40770 42165 48924 50598 56220 61155 73386 75897 81540 84330 101196 122310 126495 141487 146772 151794 168660 183465 227691 244620 252990 282974 303588 366930 379485 424461 455382 505980 565948 707435 733860 758970 848922 910764 1138455 1273383 1414870 1517940 1697844 2122305 2276910 2546766 2829740 3820149 4244610 4553820 5093532 6366915 7640298 8489220 11460447 12733830 15280596 19100745 22920894 25467660 34381341 38201490 45841788 57302235 68762682 76402980 114604470 137525364 171906705 229208940 343813410 687626820