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1485669120 = 28351329761
BaseRepresentation
bin101100010001101…
…1000001100000000
310211112112210220020
41120203120030000
511020312402440
6403231013440
751546656565
oct13043301400
93745483806
101485669120
116a2692221
1235566a280
131a8a45370
1410145286c
158a6683d0
hex588d8300

1485669120 has 144 divisors (see below), whose sum is σ = 5110016352. Its totient is φ = 365690880.

The previous prime is 1485669077. The next prime is 1485669121. The reversal of 1485669120 is 219665841.

It is not an unprimeable number, because it can be changed into a prime (1485669121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35040 + ... + 64800.

Almost surely, 21485669120 is an apocalyptic number.

1485669120 is a gapful number since it is divisible by the number (10) 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 1485669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555008176).

1485669120 is an abundant number, since it is smaller than the sum of its proper divisors (3624347232).

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

1485669120 is a wasteful number, since it uses less digits than its factorization.

1485669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29798 (or 29784 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1485669120 is about 38544.3785784646. The cubic root of 1485669120 is about 1141.0570681580.

The spelling of 1485669120 in words is "one billion, four hundred eighty-five million, six hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 29761 49920 59522 89283 119044 148805 178566 238088 297610 357132 386893 446415 476176 595220 714264 773786 892830 952352 1160679 1190440 1428528 1547572 1785660 1904704 1934465 2321358 2380880 2857056 3095144 3571320 3809408 3868930 4642716 4761760 5714112 5803395 6190288 7142640 7618816 7737860 9285432 9523520 11428224 11606790 12380576 14285280 15475720 18570864 19047040 22856448 23213580 24761152 28570560 30951440 37141728 38094080 46427160 49522304 57141120 61902880 74283456 92854320 99044608 114282240 123805760 148566912 185708640 247611520 297133824 371417280 495223040 742834560 1485669120