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504064680 = 233571931583
BaseRepresentation
bin11110000010110…
…110101010101000
31022010111010202020
4132002312222220
52013020032210
6122003504440
715330323220
oct3602665250
91263433666
10504064680
11239593289
12120988120
1380579232
144ad33080
152e3bc770
hex1e0b6aa8

504064680 has 128 divisors (see below), whose sum is σ = 1819238400. Its totient is φ = 109147392.

The previous prime is 504064669. The next prime is 504064697. The reversal of 504064680 is 86460405.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169 + ... + 31751.

It is an arithmetic number, because the mean of its divisors is an integer number (14212800).

Almost surely, 2504064680 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 504064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909619200).

504064680 is an abundant number, since it is smaller than the sum of its proper divisors (1315173720).

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

504064680 is a wasteful number, since it uses less digits than its factorization.

504064680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31623 (or 31619 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 504064680 is about 22451.3848125233. The cubic root of 504064680 is about 795.8454831681.

The spelling of 504064680 in words is "five hundred four million, sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 31583 63166 94749 126332 157915 189498 221081 252664 315830 378996 442162 473745 600077 631660 663243 757992 884324 947490 1105405 1200154 1263320 1326486 1768648 1800231 1894980 2210810 2400308 2652972 3000385 3316215 3600462 3789960 4200539 4421620 4800616 5305944 6000770 6632430 7200924 8401078 8843240 9001155 12001540 12601617 13264860 14401848 16802156 18002310 21002695 24003080 25203234 26529720 33604312 36004620 42005390 50406468 63008085 72009240 84010780 100812936 126016170 168021560 252032340 504064680