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5632010340 = 22351121395581
BaseRepresentation
bin1010011111011000…
…11010100001100100
3112112111121202202120
411033230122201210
543013243312330
62330505305540
7256365204135
oct51754324144
915474552676
105632010340
112430139800
1211121952b0
136b9a844c8
143b5dbbc8c
1522e698c10
hex14fb1a864

5632010340 has 144 divisors (see below), whose sum is σ = 17461389120. Its totient is φ = 1355270400.

The previous prime is 5632010339. The next prime is 5632010341. The reversal of 5632010340 is 430102365.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5632010339) and next prime (5632010341).

It is a self number, because there is not a number n which added to its sum of digits gives 5632010340.

It is not an unprimeable number, because it can be changed into a prime (5632010341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006350 + ... + 1011930.

Almost surely, 25632010340 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 5632010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730694560).

5632010340 is an abundant number, since it is smaller than the sum of its proper divisors (11829378780).

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

5632010340 is a wasteful number, since it uses less digits than its factorization.

5632010340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5632010340 is about 75046.7210476247. The cubic root of 5632010340 is about 1779.1851612784.

The spelling of 5632010340 in words is "five billion, six hundred thirty-two million, ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 139 165 220 242 278 330 363 417 484 556 605 660 695 726 834 1210 1390 1452 1529 1668 1815 2085 2420 2780 3058 3630 4170 4587 5581 6116 7260 7645 8340 9174 11162 15290 16743 16819 18348 22324 22935 27905 30580 33486 33638 45870 50457 55810 61391 66972 67276 83715 84095 91740 100914 111620 122782 167430 168190 184173 201828 245564 252285 306955 334860 336380 368346 504570 613910 675301 736692 775759 920865 1009140 1227820 1350602 1551518 1841730 2025903 2327277 2701204 3103036 3376505 3683460 3878795 4051806 4654554 6753010 7757590 8103612 8533349 9309108 10129515 11636385 13506020 15515180 17066698 20259030 23272770 25600047 34133396 40518060 42666745 46545540 51200094 85333490 93866839 102400188 128000235 170666980 187733678 256000470 281600517 375467356 469334195 512000940 563201034 938668390 1126402068 1408002585 1877336780 2816005170 5632010340