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3901040 = 2451121331
BaseRepresentation
bin1110111000011001110000
321100012012222
432320121300
51444313130
6215340212
745105203
oct16703160
97305188
103901040
112224a00
121381668
13a67810
1473793a
15520ce5
hex3b8670

3901040 has 120 divisors (see below), whose sum is σ = 11082624. Its totient is φ = 1267200.

The previous prime is 3901033. The next prime is 3901043. The reversal of 3901040 is 401093.

3901040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39010402 = 30436226163200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901043) 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 23 ways as a sum of consecutive naturals, for example, 125825 + ... + 125855.

Almost surely, 23901040 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 3901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312).

3901040 is an abundant number, since it is smaller than the sum of its proper divisors (7181584).

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

3901040 is a wasteful number, since it uses less digits than its factorization.

3901040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3901040 is about 1975.1050604968. The cubic root of 3901040 is about 157.4200820722.

The spelling of 3901040 in words is "three million, nine hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 121 124 130 143 155 176 208 220 242 248 260 286 310 341 403 440 484 496 520 572 605 620 682 715 806 880 968 1040 1144 1210 1240 1364 1430 1573 1612 1705 1936 2015 2288 2420 2480 2728 2860 3146 3224 3410 3751 4030 4433 4840 5456 5720 6292 6448 6820 7502 7865 8060 8866 9680 11440 12584 13640 15004 15730 16120 17732 18755 22165 25168 27280 30008 31460 32240 35464 37510 44330 48763 60016 62920 70928 75020 88660 97526 125840 150040 177320 195052 243815 300080 354640 390104 487630 780208 975260 1950520 3901040