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5305436040 = 2335257172031
BaseRepresentation
bin1001111000011101…
…01000011110001000
3111200202010002001010
410330032220132020
541331142423130
62234241523520
7245321314362
oct47416503610
914622102033
105305436040
112282864693
1210409435a0
13667210a88
1438488bd32
15210b8b0b0
hex13c3a8788

5305436040 has 64 divisors (see below), whose sum is σ = 15978332160. Its totient is φ = 1409269760.

The previous prime is 5305436033. The next prime is 5305436099. The reversal of 5305436040 is 406345035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5305435989 and 5305436007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55176 + ... + 116855.

It is an arithmetic number, because the mean of its divisors is an integer number (249661440).

Almost surely, 25305436040 is an apocalyptic number.

It is an amenable number.

5305436040 is an abundant number, since it is smaller than the sum of its proper divisors (10672896120).

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

5305436040 is a wasteful number, since it uses less digits than its factorization.

5305436040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172302 (or 172298 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 5305436040 is about 72838.4242004177. The cubic root of 5305436040 is about 1744.1092861754.

The spelling of 5305436040 in words is "five billion, three hundred five million, four hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7710 10280 15420 30840 172031 344062 516093 688124 860155 1032186 1376248 1720310 2064372 2580465 3440620 4128744 5160930 6881240 10321860 20643720 44211967 88423934 132635901 176847868 221059835 265271802 353695736 442119670 530543604 663179505 884239340 1061087208 1326359010 1768478680 2652718020 5305436040