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3985380 = 2232573163
BaseRepresentation
bin1111001100111111100100
321111110220200
433030333210
52010013010
6221230500
745606120
oct17147744
97443820
103985380
112282303
121402430
13a97019
1475a580
1553acc0
hex3ccfe4

3985380 has 72 divisors (see below), whose sum is σ = 13820352. Its totient is φ = 910656.

The previous prime is 3985363. The next prime is 3985393. The reversal of 3985380 is 835893.

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

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, 322 + ... + 2841.

Almost surely, 23985380 is an apocalyptic number.

3985380 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 3985380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910176).

3985380 is an abundant number, since it is smaller than the sum of its proper divisors (9834972).

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

3985380 is a wasteful number, since it uses less digits than its factorization.

3985380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3985380 is about 1996.3416541264. The cubic root of 3985380 is about 158.5464707320.

It can be divided in two parts, 398 and 5380, that added together give a triangular number (5778 = T107).

The spelling of 3985380 in words is "three million, nine hundred eighty-five thousand, three hundred eighty".

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 90 105 126 140 180 210 252 315 420 630 1260 3163 6326 9489 12652 15815 18978 22141 28467 31630 37956 44282 47445 56934 63260 66423 88564 94890 110705 113868 132846 142335 189780 199269 221410 265692 284670 332115 398538 442820 569340 664230 797076 996345 1328460 1992690 3985380