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1121986720 = 2553127297
BaseRepresentation
bin100001011100000…
…0010100010100000
32220012012211102201
41002320002202200
54244212033340
6303200022544
736542505211
oct10270024240
92805184381
101121986720
11526372258
12273901a54
1314b5ab48a
14a9023408
156877a79a
hex42e028a0

1121986720 has 72 divisors (see below), whose sum is σ = 2739333492. Its totient is φ = 434257920.

The previous prime is 1121986709. The next prime is 1121986721. The reversal of 1121986720 is 276891211.

It can be written as a sum of positive squares in 2 ways, for example, as 1096139664 + 25847056 = 33108^2 + 5084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1121986720.

It is not an unprimeable number, because it can be changed into a prime (1121986721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150112 + ... + 157408.

Almost surely, 21121986720 is an apocalyptic number.

1121986720 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 1121986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369666746).

1121986720 is an abundant number, since it is smaller than the sum of its proper divisors (1617346772).

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

1121986720 is an equidigital number, since it uses as much as digits as its factorization.

1121986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7335 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 1121986720 is about 33496.0702172658. The cubic root of 1121986720 is about 1039.1125071657.

The spelling of 1121986720 in words is "one billion, one hundred twenty-one million, nine hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 961 992 1240 1922 2480 3844 4805 4960 7297 7688 9610 14594 15376 19220 29188 30752 36485 38440 58376 72970 76880 116752 145940 153760 226207 233504 291880 452414 583760 904828 1131035 1167520 1809656 2262070 3619312 4524140 7012417 7238624 9048280 14024834 18096560 28049668 35062085 36193120 56099336 70124170 112198672 140248340 224397344 280496680 560993360 1121986720