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375985680 = 243571911779
BaseRepresentation
bin10110011010010…
…001011000010000
3222012111001101120
4112122101120100
51232223020210
6101150402240
712213553110
oct2632213020
9865431346
10375985680
11183263674
12a5b00380
135cb83c45
1437d13040
152301d270
hex16691610

375985680 has 160 divisors (see below), whose sum is σ = 1402291200. Its totient is φ = 81409536.

The previous prime is 375985633. The next prime is 375985681. The reversal of 375985680 is 86589573.

It is not an unprimeable number, because it can be changed into a prime (375985681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26031 + ... + 37809.

It is an arithmetic number, because the mean of its divisors is an integer number (8764320).

Almost surely, 2375985680 is an apocalyptic number.

375985680 is a gapful number since it is divisible by the number (30) 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 375985680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701145600).

375985680 is an abundant number, since it is smaller than the sum of its proper divisors (1026305520).

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

375985680 is a wasteful number, since it uses less digits than its factorization.

375985680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11821 (or 11815 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 375985680 is about 19390.3501773434. The cubic root of 375985680 is about 721.7560530764.

The spelling of 375985680 in words is "three hundred seventy-five million, nine hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 11779 15960 23558 31920 35337 47116 58895 70674 82453 94232 117790 141348 164906 176685 188464 223801 235580 247359 282696 329812 353370 412265 447602 471160 494718 565392 659624 671403 706740 824530 895204 942320 989436 1119005 1236795 1319248 1342806 1413480 1566607 1649060 1790408 1978872 2238010 2473590 2685612 2826960 3133214 3298120 3357015 3580816 3957744 4476020 4699821 4947180 5371224 6266428 6596240 6714030 7833035 8952040 9399642 9894360 10742448 12532856 13428060 15666070 17904080 18799284 19788720 23499105 25065712 26856120 31332140 37598568 46998210 53712240 62664280 75197136 93996420 125328560 187992840 375985680