Search a number
-
+
1272240 = 243351931
BaseRepresentation
bin100110110100110110000
32101122012000
410312212300
5311202430
643134000
713546104
oct4664660
92348160
101272240
11799942
12514300
13357108
14251904
151a1e60
hex1369b0

1272240 has 160 divisors (see below), whose sum is σ = 4761600. Its totient is φ = 311040.

The previous prime is 1272233. The next prime is 1272247. The reversal of 1272240 is 422721.

It is an interprime number because it is at equal distance from previous prime (1272233) and next prime (1272247).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41025 + ... + 41055.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

21272240 is an apocalyptic number.

1272240 is a gapful number since it is divisible by the number (10) 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 1272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380800).

1272240 is an abundant number, since it is smaller than the sum of its proper divisors (3489360).

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

1272240 is a wasteful number, since it uses less digits than its factorization.

1272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1272240 is about 1127.9361684067. The cubic root of 1272240 is about 108.3568443383.

Adding to 1272240 its reverse (422721), we get a palindrome (1694961).

The spelling of 1272240 in words is "one million, two hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 31 36 38 40 45 48 54 57 60 62 72 76 80 90 93 95 108 114 120 124 135 144 152 155 171 180 186 190 216 228 240 248 270 279 285 304 310 342 360 372 380 432 456 465 496 513 540 558 570 589 620 684 720 744 760 837 855 912 930 1026 1080 1116 1140 1178 1240 1368 1395 1488 1520 1674 1710 1767 1860 2052 2160 2232 2280 2356 2480 2565 2736 2790 2945 3348 3420 3534 3720 4104 4185 4464 4560 4712 5130 5301 5580 5890 6696 6840 7068 7440 8208 8370 8835 9424 10260 10602 11160 11780 13392 13680 14136 15903 16740 17670 20520 21204 22320 23560 26505 28272 31806 33480 35340 41040 42408 47120 53010 63612 66960 70680 79515 84816 106020 127224 141360 159030 212040 254448 318060 424080 636120 1272240