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728213136 = 24374152861
BaseRepresentation
bin101011011001111…
…010011010010000
31212202021001121220
4223121322122100
52442410310021
6200132045040
724021465240
oct5331723220
91782231556
10728213136
1134406a342
12183a63780
13b7b39c61
146c9ddb20
1543de6cc6
hex2b67a690

728213136 has 80 divisors (see below), whose sum is σ = 2202442368. Its totient is φ = 202982400.

The previous prime is 728213119. The next prime is 728213141. The reversal of 728213136 is 631312827.

728213136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 728213097 and 728213106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12655 + ... + 40206.

Almost surely, 2728213136 is an apocalyptic number.

It is an amenable number.

728213136 is an abundant number, since it is smaller than the sum of its proper divisors (1474229232).

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

728213136 is a wasteful number, since it uses less digits than its factorization.

728213136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52920 (or 52914 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 728213136 is about 26985.4245102796. The cubic root of 728213136 is about 899.6760710795.

It can be divided in two parts, 72821 and 3136, that added together give a palindrome (75957).

The spelling of 728213136 in words is "seven hundred twenty-eight million, two hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 52861 105722 158583 211444 317166 370027 422888 634332 740054 845776 1110081 1268664 1480108 2167301 2220162 2537328 2960216 4334602 4440324 5920432 6501903 8669204 8880648 13003806 15171107 17338408 17761296 26007612 30342214 34676816 45513321 52015224 60684428 91026642 104030448 121368856 182053284 242737712 364106568 728213136