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742903530 = 235317111251
BaseRepresentation
bin101100010001111…
…100111011101010
31220202220102001120
4230101330323222
53010140403110
6201415000110
724260401335
oct5421747352
91822812046
10742903530
11351393466
12188969036
13babb16b5
147094561c
1545349870
hex2c47ceea

742903530 has 64 divisors (see below), whose sum is σ = 1866571776. Its totient is φ = 189000000.

The previous prime is 742903523. The next prime is 742903531. The reversal of 742903530 is 35309247.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 742903491 and 742903500.

It is not an unprimeable number, because it can be changed into a prime (742903531) 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 31 ways as a sum of consecutive naturals, for example, 60405 + ... + 71655.

It is an arithmetic number, because the mean of its divisors is an integer number (29165184).

Almost surely, 2742903530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742903530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933285888).

742903530 is an abundant number, since it is smaller than the sum of its proper divisors (1123668246).

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

742903530 is a wasteful number, since it uses less digits than its factorization.

742903530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 742903530 is about 27256.2567129091. The cubic root of 742903530 is about 905.6856235205.

The spelling of 742903530 in words is "seven hundred forty-two million, nine hundred three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 71 93 142 155 186 213 310 355 426 465 710 930 1065 2130 2201 4402 6603 11005 11251 13206 22010 22502 33015 33753 56255 66030 67506 112510 168765 337530 348781 697562 798821 1046343 1597642 1743905 2092686 2396463 3487810 3994105 4792926 5231715 7988210 10463430 11982315 23964630 24763451 49526902 74290353 123817255 148580706 247634510 371451765 742903530