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3830520 = 2335137233
BaseRepresentation
bin1110100111001011111000
321012121111010
432213023320
51440034040
6214033520
744362461
oct16471370
97177433
103830520
112186a21
1213488a0
13a416a5
14719d68
15509e80
hex3a72f8

3830520 has 64 divisors (see below), whose sum is σ = 11625120. Its totient is φ = 1009664.

The previous prime is 3830513. The next prime is 3830527. The reversal of 3830520 is 250383.

It is an interprime number because it is at equal distance from previous prime (3830513) and next prime (3830527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16324 + ... + 16556.

Almost surely, 23830520 is an apocalyptic number.

3830520 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 3830520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812560).

3830520 is an abundant number, since it is smaller than the sum of its proper divisors (7794600).

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

3830520 is a wasteful number, since it uses less digits than its factorization.

3830520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3830520 is about 1957.1714283629. The cubic root of 3830520 is about 156.4657350632.

The spelling of 3830520 in words is "three million, eight hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 233 274 411 466 548 685 699 822 932 1096 1165 1370 1398 1644 1864 2055 2330 2740 2796 3288 3495 4110 4660 5480 5592 6990 8220 9320 13980 16440 27960 31921 63842 95763 127684 159605 191526 255368 319210 383052 478815 638420 766104 957630 1276840 1915260 3830520