Search a number
-
+
72398430 = 23251361879
BaseRepresentation
bin1000101000010…
…11011001011110
312001020012222100
410110023121132
5122013222210
611103425530
71536243066
oct424133136
9161205870
1072398430
113795a015
12202b52a6
1311ccb410
1498883a6
1565515c0
hex450b65e

72398430 has 48 divisors (see below), whose sum is σ = 202718880. Its totient is φ = 17820864.

The previous prime is 72398429. The next prime is 72398437. The reversal of 72398430 is 3489327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72398437) by changing a digit.

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, 29770 + ... + 32109.

It is an arithmetic number, because the mean of its divisors is an integer number (4223310).

Almost surely, 272398430 is an apocalyptic number.

72398430 is an abundant number, since it is smaller than the sum of its proper divisors (130320450).

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

72398430 is a wasteful number, since it uses less digits than its factorization.

72398430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61905 (or 61902 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72398430 is about 8508.7266967508. The cubic root of 72398430 is about 416.7827310445.

The spelling of 72398430 in words is "seventy-two million, three hundred ninety-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 61879 123758 185637 309395 371274 556911 618790 804427 928185 1113822 1608854 1856370 2413281 2784555 4022135 4826562 5569110 7239843 8044270 12066405 14479686 24132810 36199215 72398430