Search a number
-
+
1297793280 = 2835748281
BaseRepresentation
bin100110101011010…
…1100000100000000
310100110000201200210
41031112230010000
510124213341110
6332440114120
744106026610
oct11526540400
93313021623
101297793280
11606630333
12302765940
13178b44724
14c4508a40
1578e06520
hex4d5ac100

1297793280 has 144 divisors (see below), whose sum is σ = 4737043584. Its totient is φ = 296632320.

The previous prime is 1297793267. The next prime is 1297793293. The reversal of 1297793280 is 823977921.

It is an interprime number because it is at equal distance from previous prime (1297793267) and next prime (1297793293).

It is a super-2 number, since 2×12977932802 = 3368534795226316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2740 + ... + 51020.

It is an arithmetic number, because the mean of its divisors is an integer number (32896136).

Almost surely, 21297793280 is an apocalyptic number.

1297793280 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 1297793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368521792).

1297793280 is an abundant number, since it is smaller than the sum of its proper divisors (3439250304).

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

1297793280 is an equidigital number, since it uses as much as digits as its factorization.

1297793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48312 (or 48298 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 1297793280 is about 36024.8980567607. The cubic root of 1297793280 is about 1090.7749952347.

The spelling of 1297793280 in words is "one billion, two hundred ninety-seven million, seven hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 48281 96562 144843 193124 241405 289686 337967 386248 482810 579372 675934 724215 772496 965620 1013901 1158744 1351868 1448430 1544992 1689835 1931240 2027802 2317488 2703736 2896860 3089984 3379670 3862480 4055604 4634976 5069505 5407472 5793720 6179968 6759340 7724960 8111208 9269952 10139010 10814944 11587440 12359936 13518680 15449920 16222416 18539904 20278020 21629888 23174880 27037360 30899840 32444832 37079808 40556040 43259776 46349760 54074720 61799680 64889664 81112080 86519552 92699520 108149440 129779328 162224160 185399040 216298880 259558656 324448320 432597760 648896640 1297793280