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3960740 = 2257191489
BaseRepresentation
bin1111000110111110100100
321110020010002
433012332210
52003220430
6220520432
745444230
oct17067644
97406102
103960740
112265843
1213b0118
13a88a44
147515c0
15533845
hex3c6fa4

3960740 has 48 divisors (see below), whose sum is σ = 10012800. Its totient is φ = 1285632.

The previous prime is 3960731. The next prime is 3960751. The reversal of 3960740 is 470693.

It is a super-2 number, since 2×39607402 = 31374922695200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1916 + ... + 3404.

It is an arithmetic number, because the mean of its divisors is an integer number (208600).

Almost surely, 23960740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006400).

3960740 is an abundant number, since it is smaller than the sum of its proper divisors (6052060).

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

3960740 is a wasteful number, since it uses less digits than its factorization.

3960740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 3960740 is about 1990.1607975237. The cubic root of 3960740 is about 158.2190520372.

The spelling of 3960740 in words is "three million, nine hundred sixty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1489 2660 2978 5956 7445 10423 14890 20846 28291 29780 41692 52115 56582 104230 113164 141455 198037 208460 282910 396074 565820 792148 990185 1980370 3960740