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6145272 = 2332789137
BaseRepresentation
bin10111011100010011111000
3102120012201200
4113130103320
53033122042
6335414200
7103143150
oct27342370
912505650
106145272
113518041
122084360
131372173
14b5d760
15815c4c
hex5dc4f8

6145272 has 96 divisors (see below), whose sum is σ = 19375200. Its totient is φ = 1723392.

The previous prime is 6145261. The next prime is 6145273. The reversal of 6145272 is 2725416.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145273) 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, 44788 + ... + 44924.

It is an arithmetic number, because the mean of its divisors is an integer number (201825).

Almost surely, 26145272 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 6145272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687600).

6145272 is an abundant number, since it is smaller than the sum of its proper divisors (13229928).

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

6145272 is a wasteful number, since it uses less digits than its factorization.

6145272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 6145272 is about 2478.9659134405. The cubic root of 6145272 is about 183.1669174895.

It can be divided in two parts, 614 and 5272, that added together give a triangular number (5886 = T108).

The spelling of 6145272 in words is "six million, one hundred forty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 89 126 137 168 178 252 267 274 356 411 504 534 548 623 712 801 822 959 1068 1096 1233 1246 1602 1644 1869 1918 2136 2466 2492 2877 3204 3288 3738 3836 4932 4984 5607 5754 6408 7476 7672 8631 9864 11214 11508 12193 14952 17262 22428 23016 24386 34524 36579 44856 48772 69048 73158 85351 97544 109737 146316 170702 219474 256053 292632 341404 438948 512106 682808 768159 877896 1024212 1536318 2048424 3072636 6145272