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607240020 = 2235231313359
BaseRepresentation
bin100100001100011…
…011111101010100
31120022121222201010
4210030123331110
52220423140040
6140131132220
721022312032
oct4414337524
91508558633
10607240020
11291853462
1214b444070
1398a6212a
145a90d552
153849ce80
hex2431bf54

607240020 has 96 divisors (see below), whose sum is σ = 1788272640. Its totient is φ = 153662080.

The previous prime is 607240009. The next prime is 607240021. The reversal of 607240020 is 20042706.

607240020 = 1752 + 1762 + ... + 12222.

It is a happy number.

607240020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (607240021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179101 + ... + 182459.

It is an arithmetic number, because the mean of its divisors is an integer number (18627840).

Almost surely, 2607240020 is an apocalyptic number.

607240020 is a gapful number since it is divisible by the number (60) 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 607240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

607240020 is an abundant number, since it is smaller than the sum of its proper divisors (1181032620).

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

607240020 is a wasteful number, since it uses less digits than its factorization.

607240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 607240020 is about 24642.2405637150. The cubic root of 607240020 is about 846.8115936697.

Adding to 607240020 its reverse (20042706), we get a palindrome (627282726).

The spelling of 607240020 in words is "six hundred seven million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 131 138 230 262 276 345 393 460 524 655 690 786 1310 1380 1572 1965 2620 3013 3359 3930 6026 6718 7860 9039 10077 12052 13436 15065 16795 18078 20154 30130 33590 36156 40308 45195 50385 60260 67180 77257 90390 100770 154514 180780 201540 231771 309028 386285 440029 463542 772570 880058 927084 1158855 1320087 1545140 1760116 2200145 2317710 2640174 4400290 4635420 5280348 6600435 8800580 10120667 13200870 20241334 26401740 30362001 40482668 50603335 60724002 101206670 121448004 151810005 202413340 303620010 607240020