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486713120 = 25519236961
BaseRepresentation
bin11101000000101…
…010011100100000
31020220211120212212
4131000222130200
51444044304440
6120143541252
715026664455
oct3500523440
91226746785
10486713120
1122a811853
12116bba828
1379ab243a
14488d782c
152cae1465
hex1d02a720

486713120 has 96 divisors (see below), whose sum is σ = 1263185280. Its totient is φ = 176394240.

The previous prime is 486713107. The next prime is 486713131. The reversal of 486713120 is 21317684.

It is a super-2 number, since 2×4867131202 = 473779322360268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66440 + ... + 73400.

It is an arithmetic number, because the mean of its divisors is an integer number (13158180).

Almost surely, 2486713120 is an apocalyptic number.

486713120 is a gapful number since it is divisible by the number (40) 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 486713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631592640).

486713120 is an abundant number, since it is smaller than the sum of its proper divisors (776472160).

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

486713120 is a wasteful number, since it uses less digits than its factorization.

486713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 486713120 is about 22061.5756463585. The cubic root of 486713120 is about 786.6067782938.

The spelling of 486713120 in words is "four hundred eighty-six million, seven hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 368 380 437 460 608 736 760 874 920 1520 1748 1840 2185 3040 3496 3680 4370 6961 6992 8740 13922 13984 17480 27844 34805 34960 55688 69610 69920 111376 132259 139220 160103 222752 264518 278440 320206 529036 556880 640412 661295 800515 1058072 1113760 1280824 1322590 1601030 2116144 2561648 2645180 3041957 3202060 4232288 5123296 5290360 6083914 6404120 10580720 12167828 12808240 15209785 21161440 24335656 25616480 30419570 48671312 60839140 97342624 121678280 243356560 486713120