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3901080 = 2335192959
BaseRepresentation
bin1110111000011010011000
321100012021110
432320122120
51444313310
6215340320
745105261
oct16703230
97305243
103901080
112224a37
1213816a0
13a67841
14737968
15520d20
hex3b8698

3901080 has 128 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 935424.

The previous prime is 3901069. The next prime is 3901087. The reversal of 3901080 is 801093.

3901080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901087) 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, 66091 + ... + 66149.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

Almost surely, 23901080 is an apocalyptic number.

3901080 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 3901080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

3901080 is an abundant number, since it is smaller than the sum of its proper divisors (9058920).

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

3901080 is a wasteful number, since it uses less digits than its factorization.

3901080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 3901080 is about 1975.1151865144. The cubic root of 3901080 is about 157.4206201152.

The spelling of 3901080 in words is "three million, nine hundred one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 59 60 76 87 95 114 116 118 120 145 152 174 177 190 228 232 236 285 290 295 348 354 380 435 456 472 551 570 580 590 696 708 760 870 885 1102 1121 1140 1160 1180 1416 1653 1711 1740 1770 2204 2242 2280 2360 2755 3306 3363 3422 3480 3540 4408 4484 5133 5510 5605 6612 6726 6844 7080 8265 8555 8968 10266 11020 11210 13224 13452 13688 16530 16815 17110 20532 22040 22420 25665 26904 32509 33060 33630 34220 41064 44840 51330 65018 66120 67260 68440 97527 102660 130036 134520 162545 195054 205320 260072 325090 390108 487635 650180 780216 975270 1300360 1950540 3901080