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382000560 = 24352369203
BaseRepresentation
bin10110110001001…
…101110110110000
3222121210122020220
4112301031312300
51240243004220
6101523333040
712315644154
oct2661156660
9877718226
10382000560
111866a1747
12a7b21180
13611ab946
1438a3b064
152380a540
hex16c4ddb0

382000560 has 80 divisors (see below), whose sum is σ = 1235706624. Its totient is φ = 97436416.

The previous prime is 382000547. The next prime is 382000571. The reversal of 382000560 is 65000283.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 382000560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29082 + ... + 40121.

Almost surely, 2382000560 is an apocalyptic number.

382000560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382000560 is an abundant number, since it is smaller than the sum of its proper divisors (853706064).

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

382000560 is a wasteful number, since it uses less digits than its factorization.

382000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69242 (or 69236 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 382000560 is about 19544.8346117331. The cubic root of 382000560 is about 725.5845052521.

The spelling of 382000560 in words is "three hundred eighty-two million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 69203 138406 207609 276812 346015 415218 553624 692030 830436 1038045 1107248 1384060 1591669 1660872 2076090 2768120 3183338 3321744 4152180 4775007 5536240 6366676 7958345 8304360 9550014 12733352 15916690 16608720 19100028 23875035 25466704 31833380 38200056 47750070 63666760 76400112 95500140 127333520 191000280 382000560