[go: up one dir, main page]

Search a number
-
+
1520742342 = 237219326801
BaseRepresentation
bin101101010100100…
…1010111111000110
310220222112201022110
41122221022333012
511103302223332
6410522441450
752454045100
oct13251127706
93828481273
101520742342
11710468259
12365363286
131b30a5552
14105d82570
158d7954cc
hex5aa4afc6

1520742342 has 48 divisors (see below), whose sum is σ = 3556518192. Its totient is φ = 432230400.

The previous prime is 1520742341. The next prime is 1520742347. The reversal of 1520742342 is 2432470251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520742341) by changing a digit.

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, 43342 + ... + 70142.

It is an arithmetic number, because the mean of its divisors is an integer number (74094129).

Almost surely, 21520742342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520742342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778259096).

1520742342 is an abundant number, since it is smaller than the sum of its proper divisors (2035775850).

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

1520742342 is a wasteful number, since it uses less digits than its factorization.

1520742342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27013 (or 27006 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1520742342 is about 38996.6965524004. The cubic root of 1520742342 is about 1149.9665628589.

The spelling of 1520742342 in words is "one billion, five hundred twenty million, seven hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 193 294 386 579 1158 1351 2702 4053 8106 9457 18914 26801 28371 53602 56742 80403 160806 187607 375214 562821 1125642 1313249 2626498 3939747 5172593 7879494 10345186 15517779 31035558 36208151 72416302 108624453 217248906 253457057 506914114 760371171 1520742342