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687252020 = 225713231937
BaseRepresentation
bin101000111101101…
…010001000110100
31202220012000112112
4220331222020310
52401414031040
6152110110152
723013355130
oct5075521064
91686160475
10687252020
11322a32684
121721ab358
13ac4c7b00
14673ba3c0
1540505365
hex28f6a234

687252020 has 144 divisors (see below), whose sum is σ = 1845623808. Its totient is φ = 210263040.

The previous prime is 687252019. The next prime is 687252061. The reversal of 687252020 is 20252786.

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, 732992 + ... + 733928.

It is an arithmetic number, because the mean of its divisors is an integer number (12816832).

Almost surely, 2687252020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687252020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922811904).

687252020 is an abundant number, since it is smaller than the sum of its proper divisors (1158371788).

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

687252020 is a wasteful number, since it uses less digits than its factorization.

687252020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 687252020 is about 26215.4919847025. The cubic root of 687252020 is about 882.4809552182.

The spelling of 687252020 in words is "six hundred eighty-seven million, two hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 169 182 217 260 310 338 364 403 434 455 620 676 806 845 868 910 937 1085 1183 1612 1690 1820 1874 2015 2170 2366 2821 3380 3748 4030 4340 4685 4732 5239 5642 5915 6559 8060 9370 10478 11284 11830 12181 13118 14105 18740 20956 23660 24362 26195 26236 28210 29047 32795 36673 48724 52390 56420 58094 60905 65590 73346 85267 104780 116188 121810 131180 145235 146692 158353 170534 183365 203329 243620 290470 316706 341068 366730 377611 406658 426335 580940 633412 733460 755222 791765 813316 852670 1016645 1108471 1510444 1583530 1705340 1888055 2033290 2216942 2643277 3167060 3776110 4066580 4433884 4908943 5286554 5542355 7552220 9817886 10573108 11084710 13216385 19635772 22169420 24544715 26432770 34362601 49089430 52865540 68725202 98178860 137450404 171813005 343626010 687252020