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3250023540 = 22351313791091
BaseRepresentation
bin1100000110110111…
…0110110001110100
322101111111022011020
43001231312301310
523124001223130
61254255141140
7143352513201
oct30155666164
98344438136
103250023540
11141860a875
127685147b0
133ca43486a
1422b8caca8
151404cee10
hexc1b76c74

3250023540 has 96 divisors (see below), whose sum is σ = 9202152960. Its totient is φ = 857001600.

The previous prime is 3250023523. The next prime is 3250023541. The reversal of 3250023540 is 453200523.

It is a self number, because there is not a number n which added to its sum of digits gives 3250023540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3250023541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2978395 + ... + 2979485.

It is an arithmetic number, because the mean of its divisors is an integer number (95855760).

Almost surely, 23250023540 is an apocalyptic number.

3250023540 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 3250023540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601076480).

3250023540 is an abundant number, since it is smaller than the sum of its proper divisors (5952129420).

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

3250023540 is a wasteful number, since it uses less digits than its factorization.

3250023540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3250023540 is about 57008.9777140408. The cubic root of 3250023540 is about 1481.2516104595.

The spelling of 3250023540 in words is "three billion, two hundred fifty million, twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 379 393 524 655 758 786 1091 1137 1310 1516 1572 1895 1965 2182 2274 2620 3273 3790 3930 4364 4548 5455 5685 6546 7580 7860 10910 11370 13092 16365 21820 22740 32730 49649 65460 99298 142921 148947 198596 248245 285842 297894 413489 428763 496490 571684 595788 714605 744735 826978 857526 992980 1240467 1429210 1489470 1653956 1715052 2067445 2143815 2480934 2858420 2978940 4134890 4287630 4961868 6202335 8269780 8575260 12404670 24809340 54167059 108334118 162501177 216668236 270835295 325002354 541670590 650004708 812505885 1083341180 1625011770 3250023540