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5632620560 = 245721917523
BaseRepresentation
bin1010011111011101…
…01111100000010000
3112112112202202211022
411033232233200100
543013422324220
62330530335012
7256403325200
oct51756574020
915475682738
105632620560
112430516216
12111242a468
136b9c39198
143b60da400
1522e769925
hex14fbaf810

5632620560 has 120 divisors (see below), whose sum is σ = 15315734016. Its totient is φ = 1920817920.

The previous prime is 5632620559. The next prime is 5632620571. The reversal of 5632620560 is 650262365.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5632620560.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 744959 + ... + 752481.

Almost surely, 25632620560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5632620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7657867008).

5632620560 is an abundant number, since it is smaller than the sum of its proper divisors (9683113456).

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

5632620560 is a wasteful number, since it uses less digits than its factorization.

5632620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 5632620560 is about 75050.7865381836. The cubic root of 5632620560 is about 1779.2494163190.

The spelling of 5632620560 in words is "five billion, six hundred thirty-two million, six hundred twenty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 191 196 245 280 382 392 490 560 764 784 955 980 1337 1528 1910 1960 2674 3056 3820 3920 5348 6685 7523 7640 9359 10696 13370 15046 15280 18718 21392 26740 30092 37436 37615 46795 52661 53480 60184 74872 75230 93590 105322 106960 120368 149744 150460 187180 210644 263305 300920 368627 374360 421288 526610 601840 737254 748720 842576 1053220 1436893 1474508 1843135 2106440 2873786 2949016 3686270 4212880 5747572 5898032 7184465 7372540 10058251 11495144 14368930 14745080 20116502 22990288 28737860 29490160 40233004 50291255 57475720 70407757 80466008 100582510 114951440 140815514 160932016 201165020 281631028 352038785 402330040 563262056 704077570 804660080 1126524112 1408155140 2816310280 5632620560