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487204560 = 243256111093
BaseRepresentation
bin11101000010100…
…010011011010000
31020221202120000100
4131002202123100
51444211021220
6120202252400
715034112313
oct3502423320
91227676010
10487204560
11230017aa7
121171b7100
1379c2502b
14489c497a
152cb8bd90
hex1d0a26d0

487204560 has 120 divisors (see below), whose sum is σ = 1663168104. Its totient is φ = 127779840.

The previous prime is 487204559. The next prime is 487204573. The reversal of 487204560 is 65402784.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 467597376 = 4428^2 + 21624^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38374 + ... + 49466.

Almost surely, 2487204560 is an apocalyptic number.

487204560 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 487204560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831584052).

487204560 is an abundant number, since it is smaller than the sum of its proper divisors (1175963544).

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

487204560 is a wasteful number, since it uses less digits than its factorization.

487204560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 487204560 is about 22072.7107533262. The cubic root of 487204560 is about 786.8714379630.

The spelling of 487204560 in words is "four hundred eighty-seven million, two hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 11093 14640 21960 22186 33279 43920 44372 55465 66558 88744 99837 110930 133116 166395 177488 199674 221860 266232 332790 399348 443720 499185 532464 665580 676673 798696 887440 998370 1331160 1353346 1597392 1996740 2030019 2662320 2706692 3383365 3993480 4060038 5413384 6090057 6766730 7986960 8120076 10150095 10826768 12180114 13533460 16240152 20300190 24360228 27066920 30450285 32480304 40600380 48720456 54133840 60900570 81200760 97440912 121801140 162401520 243602280 487204560