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3131250240 = 26359293511
BaseRepresentation
bin1011101010100011…
…0001011001000000
322002012222222211010
42322220301121000
522403100001430
61234413320520
7140411121306
oct27250613100
98065888733
103131250240
111367566718
12734796140
133ab94a0c1
14219c10276
15134d6ccb0
hexbaa31640

3131250240 has 112 divisors (see below), whose sum is σ = 9955255680. Its totient is φ = 833863680.

The previous prime is 3131250223. The next prime is 3131250257. The reversal of 3131250240 is 420521313.

It is an interprime number because it is at equal distance from previous prime (3131250223) and next prime (3131250257).

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 15 ways as a sum of consecutive naturals, for example, 890085 + ... + 893595.

Almost surely, 23131250240 is an apocalyptic number.

3131250240 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 3131250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977627840).

3131250240 is an abundant number, since it is smaller than the sum of its proper divisors (6824005440).

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

3131250240 is a wasteful number, since it uses less digits than its factorization.

3131250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4450 counting only the distinct ones).

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

The square root of 3131250240 is about 55957.5753584803. The cubic root of 3131250240 is about 1462.9829300027.

Adding to 3131250240 its reverse (420521313), we get a palindrome (3551771553).

The spelling of 3131250240 in words is "three billion, one hundred thirty-one million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 929 960 1858 2787 3511 3716 4645 5574 7022 7432 9290 10533 11148 13935 14044 14864 17555 18580 21066 22296 27870 28088 29728 35110 37160 42132 44592 52665 55740 56176 59456 70220 74320 84264 89184 105330 111480 112352 140440 148640 168528 178368 210660 222960 224704 280880 297280 337056 421320 445920 561760 674112 842640 891840 1123520 1685280 3261719 3370560 6523438 9785157 13046876 16308595 19570314 26093752 32617190 39140628 48925785 52187504 65234380 78281256 97851570 104375008 130468760 156562512 195703140 208750016 260937520 313125024 391406280 521875040 626250048 782812560 1043750080 1565625120 3131250240