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1272320 = 295771
BaseRepresentation
bin100110110101000000000
32101122021222
410312220000
5311203240
643134212
713546250
oct4665000
92348258
101272320
11799a05
12514368
1335716a
14251960
151a1eb5
hex136a00

1272320 has 80 divisors (see below), whose sum is σ = 3535488. Its totient is φ = 430080.

The previous prime is 1272289. The next prime is 1272329. The reversal of 1272320 is 232721.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1272329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17885 + ... + 17955.

21272320 is an apocalyptic number.

1272320 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 1272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767744).

1272320 is an abundant number, since it is smaller than the sum of its proper divisors (2263168).

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

1272320 is an frugal number, since it uses more digits than its factorization.

1272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 1272320 is about 1127.9716308489. The cubic root of 1272320 is about 108.3591154941.

The spelling of 1272320 in words is "one million, two hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 128 140 142 160 224 256 280 284 320 355 448 497 512 560 568 640 710 896 994 1120 1136 1280 1420 1792 1988 2240 2272 2485 2560 2840 3584 3976 4480 4544 4970 5680 7952 8960 9088 9940 11360 15904 17920 18176 19880 22720 31808 36352 39760 45440 63616 79520 90880 127232 159040 181760 254464 318080 636160 1272320