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1272096 = 25327631
BaseRepresentation
bin100110110100100100000
32101121222200
410312210200
5311201341
643133200
713545510
oct4664440
92347880
101272096
11799821
12514200
13357027
14251840
151a1db6
hex136920

1272096 has 72 divisors (see below), whose sum is σ = 4140864. Its totient is φ = 362880.

The previous prime is 1272091. The next prime is 1272109. The reversal of 1272096 is 6902721.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1272091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701 + ... + 2331.

It is an arithmetic number, because the mean of its divisors is an integer number (57512).

21272096 is an apocalyptic number.

1272096 is a gapful number since it is divisible by the number (16) 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 1272096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070432).

1272096 is an abundant number, since it is smaller than the sum of its proper divisors (2868768).

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

1272096 is a wasteful number, since it uses less digits than its factorization.

1272096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1272096 is about 1127.8723332009. The cubic root of 1272096 is about 108.3527560179.

The spelling of 1272096 in words is "one million, two hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 631 672 1008 1262 1893 2016 2524 3786 4417 5048 5679 7572 8834 10096 11358 13251 15144 17668 20192 22716 26502 30288 35336 39753 45432 53004 60576 70672 79506 90864 106008 141344 159012 181728 212016 318024 424032 636048 1272096