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1272180 = 2235713233
BaseRepresentation
bin100110110100101110100
32101122002210
410312211310
5311202210
643133420
713545660
oct4664564
92348083
101272180
11799898
12514270
13357090
142518a0
151a1e20
hex136974

1272180 has 96 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 267264.

The previous prime is 1272169. The next prime is 1272191. The reversal of 1272180 is 812721.

It is an interprime number because it is at equal distance from previous prime (1272169) and next prime (1272191).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5344 + ... + 5576.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

21272180 is an apocalyptic number.

1272180 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 1272180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472).

1272180 is an abundant number, since it is smaller than the sum of its proper divisors (3130764).

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

1272180 is a wasteful number, since it uses less digits than its factorization.

1272180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1272180 is about 1127.9095708433. The cubic root of 1272180 is about 108.3551409090.

The spelling of 1272180 in words is "one million, two hundred seventy-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 233 260 273 364 390 420 455 466 546 699 780 910 932 1092 1165 1365 1398 1631 1820 2330 2730 2796 3029 3262 3495 4660 4893 5460 6058 6524 6990 8155 9087 9786 12116 13980 15145 16310 18174 19572 21203 24465 30290 32620 36348 42406 45435 48930 60580 63609 84812 90870 97860 106015 127218 181740 212030 254436 318045 424060 636090 1272180