Search a number
-
+
1227072 = 26371183
BaseRepresentation
bin100101011100101000000
32022100020010
410223211000
5303231242
642144520
713300320
oct4534500
92270203
101227072
11768a10
124b2140
1333c6a2
1423d280
1519389c
hex12b940

1227072 has 112 divisors (see below), whose sum is σ = 4096512. Its totient is φ = 314880.

The previous prime is 1227053. The next prime is 1227101. The reversal of 1227072 is 2707221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14743 + ... + 14825.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

21227072 is an apocalyptic number.

1227072 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 1227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256).

1227072 is an abundant number, since it is smaller than the sum of its proper divisors (2869440).

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

1227072 is a wasteful number, since it uses less digits than its factorization.

1227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 1227072 is about 1107.7328197720. The cubic root of 1227072 is about 107.0590409887.

The spelling of 1227072 in words is "one million, two hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 83 84 88 96 112 132 154 166 168 176 192 224 231 249 264 308 332 336 352 448 462 498 528 581 616 664 672 704 913 924 996 1056 1162 1232 1328 1344 1743 1826 1848 1992 2112 2324 2464 2656 2739 3486 3652 3696 3984 4648 4928 5312 5478 6391 6972 7304 7392 7968 9296 10956 12782 13944 14608 14784 15936 18592 19173 21912 25564 27888 29216 37184 38346 43824 51128 55776 58432 76692 87648 102256 111552 153384 175296 204512 306768 409024 613536 1227072