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1206272 = 2111931
BaseRepresentation
bin100100110100000000000
32021021200202
410212200000
5302100042
641504332
713152554
oct4464000
92237622
101206272
11754321
124a20a8
13333092
14235864
1518c632
hex126800

1206272 has 48 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 552960.

The previous prime is 1206263. The next prime is 1206277. The reversal of 1206272 is 2726021.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38897 + ... + 38927.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

21206272 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 1206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

1206272 is an abundant number, since it is smaller than the sum of its proper divisors (1414528).

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

1206272 is an equidigital number, since it uses as much as digits as its factorization.

1206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 1206272 is about 1098.3041473108. The cubic root of 1206272 is about 106.4506740362.

The spelling of 1206272 in words is "one million, two hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 512 589 608 992 1024 1178 1216 1984 2048 2356 2432 3968 4712 4864 7936 9424 9728 15872 18848 19456 31744 37696 38912 63488 75392 150784 301568 603136 1206272