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3945680 = 245313743
BaseRepresentation
bin1111000011010011010000
321102110110022
433003103100
52002230210
6220323012
745352304
oct17032320
97373408
103945680
1122554a2
1213a3468
13a81c2b
14749d04
1552e155
hex3c34d0

3945680 has 80 divisors (see below), whose sum is σ = 9951744. Its totient is φ = 1451520.

The previous prime is 3945677. The next prime is 3945701. The reversal of 3945680 is 865493.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3945680.

It is a congruent number.

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, 91739 + ... + 91781.

Almost surely, 23945680 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 3945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975872).

3945680 is an abundant number, since it is smaller than the sum of its proper divisors (6006064).

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

3945680 is a wasteful number, since it uses less digits than its factorization.

3945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3945680 is about 1986.3735801707. The cubic root of 3945680 is about 158.0182641921.

The spelling of 3945680 in words is "three million, nine hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 43 62 74 80 86 124 148 155 172 185 215 248 296 310 344 370 430 496 592 620 688 740 860 1147 1240 1333 1480 1591 1720 2294 2480 2666 2960 3182 3440 4588 5332 5735 6364 6665 7955 9176 10664 11470 12728 13330 15910 18352 21328 22940 25456 26660 31820 45880 49321 53320 63640 91760 98642 106640 127280 197284 246605 394568 493210 789136 986420 1972840 3945680