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1336272 = 24374197
BaseRepresentation
bin101000110001111010000
32111220000120
411012033100
5320230042
644350240
714233560
oct5061720
92456016
101336272
11832a63
12545380
1337a2c2
1426ada0
151b5dec
hex1463d0

1336272 has 80 divisors (see below), whose sum is σ = 4083072. Its totient is φ = 368640.

The previous prime is 1336271. The next prime is 1336273. The reversal of 1336272 is 2726331.

It is an interprime number because it is at equal distance from previous prime (1336271) and next prime (1336273).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13728 + ... + 13824.

21336272 is an apocalyptic number.

1336272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1336272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041536).

1336272 is an abundant number, since it is smaller than the sum of its proper divisors (2746800).

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

1336272 is a wasteful number, since it uses less digits than its factorization.

1336272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 1336272 is about 1155.9723180077. The cubic root of 1336272 is about 110.1450428264.

The spelling of 1336272 in words is "one million, three hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 97 112 123 164 168 194 246 287 291 328 336 388 492 574 582 656 679 776 861 984 1148 1164 1358 1552 1722 1968 2037 2296 2328 2716 3444 3977 4074 4592 4656 5432 6888 7954 8148 10864 11931 13776 15908 16296 23862 27839 31816 32592 47724 55678 63632 83517 95448 111356 167034 190896 222712 334068 445424 668136 1336272