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3905070 = 23513171931
BaseRepresentation
bin1110111001011000101110
321100101202020
432321120232
51444430240
6215411010
745123021
oct16713056
97311666
103905070
112227a34
121383a66
13a695c0
147391b8
155220d0
hex3b962e

3905070 has 128 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 829440.

The previous prime is 3905059. The next prime is 3905107. The reversal of 3905070 is 705093.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3905070.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 125955 + ... + 125985.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 23905070 is an apocalyptic number.

3905070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3905070 is an abundant number, since it is smaller than the sum of its proper divisors (7707090).

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

3905070 is a wasteful number, since it uses less digits than its factorization.

3905070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 3905070 is about 1976.1249960466. The cubic root of 3905070 is about 157.4742714335.

It can be divided in two parts, 390 and 5070, that added together give a triangular number (5460 = T104).

The spelling of 3905070 in words is "three million, nine hundred five thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 17 19 26 30 31 34 38 39 51 57 62 65 78 85 93 95 102 114 130 155 170 186 190 195 221 247 255 285 310 323 390 403 442 465 494 510 527 570 589 646 663 741 806 930 969 1054 1105 1178 1209 1235 1326 1482 1581 1615 1767 1938 2015 2210 2418 2470 2635 2945 3162 3230 3315 3534 3705 4030 4199 4845 5270 5890 6045 6630 6851 7410 7657 7905 8398 8835 9690 10013 12090 12597 13702 15314 15810 17670 20026 20553 20995 22971 25194 30039 34255 38285 41106 41990 45942 50065 60078 62985 68510 76570 100130 102765 114855 125970 130169 150195 205530 229710 260338 300390 390507 650845 781014 1301690 1952535 3905070