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5640228040 = 2351723115739
BaseRepresentation
bin1010100000010111…
…10000110011001000
3112120002002021022211
411100023300303020
543022344244130
62331401354504
7256525101346
oct52013606310
915502067284
105640228040
112434841897
121114a98a34
136bb6a0a55
143b711a996
1523026da2a
hex1502f0cc8

5640228040 has 96 divisors (see below), whose sum is σ = 13916678400. Its totient is φ = 2054753280.

The previous prime is 5640228037. The next prime is 5640228053. The reversal of 5640228040 is 408220465.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 5640227993 and 5640228011.

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 23 ways as a sum of consecutive naturals, for example, 350491 + ... + 366229.

It is an arithmetic number, because the mean of its divisors is an integer number (144965400).

Almost surely, 25640228040 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 5640228040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958339200).

5640228040 is an abundant number, since it is smaller than the sum of its proper divisors (8276450360).

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

5640228040 is a wasteful number, since it uses less digits than its factorization.

5640228040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15815 (or 15794 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 5640228040 is about 75101.4516504175. The cubic root of 5640228040 is about 1780.0500806513.

The spelling of 5640228040 in words is "five billion, six hundred forty million, two hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 289 310 340 527 578 620 680 1054 1156 1240 1445 2108 2312 2635 2890 4216 5270 5780 8959 10540 11560 15739 17918 21080 31478 35836 44795 62956 71672 78695 89590 125912 157390 179180 267563 314780 358360 487909 535126 629560 975818 1070252 1337815 1951636 2140504 2439545 2675630 3903272 4548571 4879090 5351260 8294453 9097142 9758180 10702520 16588906 18194284 19516360 22742855 33177812 36388568 41472265 45485710 66355624 82944530 90971420 141005701 165889060 181942840 282011402 331778120 564022804 705028505 1128045608 1410057010 2820114020 5640228040