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470082060 = 2232573491069
BaseRepresentation
bin11100000001001…
…110001000001100
31012202112122100200
4130001032020030
51430320111220
6114351253500
714435426430
oct3401161014
91182478320
10470082060
11221392678
1211151a290
137650b586
14466089c0
152b408890
hex1c04e20c

470082060 has 144 divisors (see below), whose sum is σ = 1635816000. Its totient is φ = 107039232.

The previous prime is 470082029. The next prime is 470082061. The reversal of 470082060 is 60280074.

It is not an unprimeable number, because it can be changed into a prime (470082061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439206 + ... + 440274.

Almost surely, 2470082060 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 470082060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817908000).

470082060 is an abundant number, since it is smaller than the sum of its proper divisors (1165733940).

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

470082060 is a wasteful number, since it uses less digits than its factorization.

470082060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 470082060 is about 21681.3758788505. The cubic root of 470082060 is about 777.5432563824.

The spelling of 470082060 in words is "four hundred seventy million, eighty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 349 420 630 698 1047 1069 1260 1396 1745 2094 2138 2443 3141 3207 3490 4188 4276 4886 5235 5345 6282 6414 6980 7329 7483 9621 9772 10470 10690 12215 12564 12828 14658 14966 15705 16035 19242 20940 21380 21987 22449 24430 29316 29932 31410 32070 36645 37415 38484 43974 44898 48105 48860 62820 64140 67347 73290 74830 87948 89796 96210 109935 112245 134694 146580 149660 192420 219870 224490 269388 336735 373081 439740 448980 673470 746162 1119243 1346940 1492324 1865405 2238486 2611567 3357729 3730810 4476972 5223134 5596215 6715458 7461620 7834701 10446268 11192430 13057835 13430916 15669402 16788645 22384860 23504103 26115670 31338804 33577290 39173505 47008206 52231340 67154580 78347010 94016412 117520515 156694020 235041030 470082060