Search a number
-
+
602606420 = 225133721693
BaseRepresentation
bin100011111010110…
…000101101010100
31112222220120121022
4203322300231110
52213231401140
6135443540312
720635033013
oct4372605524
91488816538
10602606420
1128a179139
1214998a698
1397acc060
145a064a7a
1537d850b5
hex23eb0b54

602606420 has 72 divisors (see below), whose sum is σ = 1401473304. Its totient is φ = 216359424.

The previous prime is 602606363. The next prime is 602606423. The reversal of 602606420 is 24606206.

602606420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 41011216 + 561595204 = 6404^2 + 23698^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 602606420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (602606423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355094 + ... + 356786.

It is an arithmetic number, because the mean of its divisors is an integer number (19464907).

Almost surely, 2602606420 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 602606420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700736652).

602606420 is an abundant number, since it is smaller than the sum of its proper divisors (798866884).

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

602606420 is a wasteful number, since it uses less digits than its factorization.

602606420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 602606420 is about 24548.0430991963. The cubic root of 602606420 is about 844.6522009724.

The spelling of 602606420 in words is "six hundred two million, six hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1369 1693 1924 2405 2738 3386 4810 5476 6772 6845 8465 9620 13690 16930 17797 22009 27380 33860 35594 44018 62641 71188 88036 88985 110045 125282 177970 220090 250564 313205 355940 440180 626410 814333 1252820 1628666 2317717 3257332 4071665 4635434 8143330 9270868 11588585 16286660 23177170 30130321 46354340 60260642 120521284 150651605 301303210 602606420