Search a number
-
+
1248072 = 2337171923
BaseRepresentation
bin100110000101101001000
32100102000220
410300231020
5304414242
642430040
713415460
oct4605510
92312026
101248072
11782771
12502320
13349107
14246ba0
15199bec
hex130b48

1248072 has 128 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 304128.

The previous prime is 1248061. The next prime is 1248083. The reversal of 1248072 is 2708421.

It is an interprime number because it is at equal distance from previous prime (1248061) and next prime (1248083).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54253 + ... + 54275.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

21248072 is an apocalyptic number.

1248072 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 1248072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

1248072 is an abundant number, since it is smaller than the sum of its proper divisors (2899128).

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

1248072 is a wasteful number, since it uses less digits than its factorization.

1248072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1248072 is about 1117.1714282061. The cubic root of 1248072 is about 107.6663226683. Note that the first 3 decimals are identical.

1248072 divided by its sum of digits (24) gives a triangular number (52003 = T322).

It can be divided in two parts, 12 and 48072, that added together give a palindrome (48084).

The spelling of 1248072 in words is "one million, two hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 23 24 28 34 38 42 46 51 56 57 68 69 76 84 92 102 114 119 133 136 138 152 161 168 184 204 228 238 266 276 322 323 357 391 399 408 437 456 476 483 532 552 644 646 714 782 798 874 952 966 969 1064 1173 1288 1292 1311 1428 1564 1596 1748 1932 1938 2261 2346 2584 2622 2737 2856 3059 3128 3192 3496 3864 3876 4522 4692 5244 5474 6118 6783 7429 7752 8211 9044 9177 9384 10488 10948 12236 13566 14858 16422 18088 18354 21896 22287 24472 27132 29716 32844 36708 44574 52003 54264 59432 65688 73416 89148 104006 156009 178296 208012 312018 416024 624036 1248072