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3890040 = 2335711421
BaseRepresentation
bin1110110101101101111000
321022122010120
432311231320
51443440130
6215213240
745031140
oct16655570
97278116
103890040
112217710
121377220
13a627cb
14733920
1551c910
hex3b5b78

3890040 has 128 divisors (see below), whose sum is σ = 14584320. Its totient is φ = 806400.

The previous prime is 3890027. The next prime is 3890053. The reversal of 3890040 is 400983.

It is an interprime number because it is at equal distance from previous prime (3890027) and next prime (3890053).

It is a super-2 number, since 2×38900402 = 30264822403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9030 + ... + 9450.

It is an arithmetic number, because the mean of its divisors is an integer number (113940).

Almost surely, 23890040 is an apocalyptic number.

3890040 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 3890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292160).

3890040 is an abundant number, since it is smaller than the sum of its proper divisors (10694280).

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

3890040 is a wasteful number, since it uses less digits than its factorization.

3890040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3890040 is about 1972.3184327081. The cubic root of 3890040 is about 157.2719804512.

The spelling of 3890040 in words is "three million, eight hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 421 440 462 616 660 770 840 842 924 1155 1263 1320 1540 1684 1848 2105 2310 2526 2947 3080 3368 4210 4620 4631 5052 5894 6315 8420 8841 9240 9262 10104 11788 12630 13893 14735 16840 17682 18524 23155 23576 25260 27786 29470 32417 35364 37048 44205 46310 50520 55572 58940 64834 69465 70728 88410 92620 97251 111144 117880 129668 138930 162085 176820 185240 194502 259336 277860 324170 353640 389004 486255 555720 648340 778008 972510 1296680 1945020 3890040