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1230277728 = 253231932887
BaseRepresentation
bin100100101010100…
…1000110001100000
310011201222120202210
41021111020301200
510004422341403
6322025042120
742326121351
oct11125106140
93151876683
101230277728
11581506959
122a4026340
13167b659b4
14b9571d28
157301bb03
hex49548c60

1230277728 has 96 divisors (see below), whose sum is σ = 3388525056. Its totient is φ = 390094848.

The previous prime is 1230277717. The next prime is 1230277733. The reversal of 1230277728 is 8277720321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424701 + ... + 427587.

It is an arithmetic number, because the mean of its divisors is an integer number (35297136).

Almost surely, 21230277728 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 1230277728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694262528).

1230277728 is an abundant number, since it is smaller than the sum of its proper divisors (2158247328).

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

1230277728 is a wasteful number, since it uses less digits than its factorization.

1230277728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 1230277728 is about 35075.3150805520. The cubic root of 1230277728 is about 1071.5219056927.

The spelling of 1230277728 in words is "one billion, two hundred thirty million, two hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 193 276 368 386 552 579 736 772 1104 1158 1544 2208 2316 2887 3088 4439 4632 5774 6176 8661 8878 9264 11548 13317 17322 17756 18528 23096 26634 34644 35512 46192 53268 66401 69288 71024 92384 106536 132802 138576 142048 199203 213072 265604 277152 398406 426144 531208 557191 796812 1062416 1114382 1593624 1671573 2124832 2228764 3187248 3343146 4457528 6374496 6686292 8915056 12815393 13372584 17830112 25630786 26745168 38446179 51261572 53490336 76892358 102523144 153784716 205046288 307569432 410092576 615138864 1230277728