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3955140 = 2232574373
BaseRepresentation
bin1111000101100111000100
321102221102200
433011213010
52003031030
6220434500
745422010
oct17054704
97387380
103955140
112261612
1213a8a30
13a86327
1474d540
15531d60
hex3c59c4

3955140 has 144 divisors (see below), whose sum is σ = 14222208. Its totient is φ = 870912.

The previous prime is 3955139. The next prime is 3955141. The reversal of 3955140 is 415593.

3955140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3955139) and next prime (3955141).

It is not an unprimeable number, because it can be changed into a prime (3955141) 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 47 ways as a sum of consecutive naturals, for example, 54144 + ... + 54216.

Almost surely, 23955140 is an apocalyptic number.

3955140 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 3955140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111104).

3955140 is an abundant number, since it is smaller than the sum of its proper divisors (10267068).

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

3955140 is a wasteful number, since it uses less digits than its factorization.

3955140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 3955140 is about 1988.7533783755. The cubic root of 3955140 is about 158.1444494295.

It can be divided in two parts, 3955 and 140, that added together give a triangular number (4095 = T90).

The spelling of 3955140 in words is "three million, nine hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 73 84 86 90 105 126 129 140 146 172 180 210 215 219 252 258 292 301 315 365 387 420 430 438 511 516 602 630 645 657 730 774 860 876 903 1022 1095 1204 1260 1290 1314 1460 1505 1533 1548 1806 1935 2044 2190 2555 2580 2628 2709 3010 3066 3139 3285 3612 3870 4380 4515 4599 5110 5418 6020 6132 6278 6570 7665 7740 9030 9198 9417 10220 10836 12556 13140 13545 15330 15695 18060 18396 18834 21973 22995 27090 28251 30660 31390 37668 43946 45990 47085 54180 56502 62780 65919 87892 91980 94170 109865 113004 131838 141255 188340 197757 219730 263676 282510 329595 395514 439460 565020 659190 791028 988785 1318380 1977570 3955140