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6061145328 = 243372004347
BaseRepresentation
bin1011010010100010…
…11011110011110000
3120122102010002022000
411221101123303300
544403123122303
62441235214000
7303125612430
oct55121336360
916572102260
106061145328
1126303a4217
121211a47300
13757957134
14416da82c0
152571b4da3
hex16945bcf0

6061145328 has 80 divisors (see below), whose sum is σ = 19883132160. Its totient is φ = 1731754944.

The previous prime is 6061145323. The next prime is 6061145351. The reversal of 6061145328 is 8235411606.

It is a happy number.

6061145328 is a `hidden beast` number, since 6 + 0 + 6 + 114 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6061145292 and 6061145301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6061145323) 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 15 ways as a sum of consecutive naturals, for example, 999150 + ... + 1005197.

It is an arithmetic number, because the mean of its divisors is an integer number (248539152).

Almost surely, 26061145328 is an apocalyptic number.

It is an amenable number.

6061145328 is an abundant number, since it is smaller than the sum of its proper divisors (13821986832).

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

6061145328 is a wasteful number, since it uses less digits than its factorization.

6061145328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004371 (or 2004359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6061145328 is about 77853.3578466594. The cubic root of 6061145328 is about 1823.2724331608.

The spelling of 6061145328 in words is "six billion, sixty-one million, one hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 2004347 4008694 6013041 8017388 12026082 14030429 16034776 18039123 24052164 28060858 32069552 36078246 42091287 48104328 54117369 56121716 72156492 84182574 96208656 108234738 112243432 126273861 144312984 168365148 216469476 224486864 252547722 288625968 336730296 378821583 432938952 505095444 673460592 757643166 865877904 1010190888 1515286332 2020381776 3030572664 6061145328