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1120330400 = 25527375407
BaseRepresentation
bin100001011000110…
…1110001010100000
32220002002200101112
41002301232022200
54243301033100
6303100322452
736522436250
oct10261561240
92802080345
101120330400
115254408a2
12273243428
1314b14b5c7
14a8b11960
156854eb35
hex42c6e2a0

1120330400 has 144 divisors (see below), whose sum is σ = 3210794496. Its totient is φ = 373662720.

The previous prime is 1120330381. The next prime is 1120330417. The reversal of 1120330400 is 40330211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204497 + ... + 209903.

It is an arithmetic number, because the mean of its divisors is an integer number (22297184).

Almost surely, 21120330400 is an apocalyptic number.

1120330400 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 1120330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605397248).

1120330400 is an abundant number, since it is smaller than the sum of its proper divisors (2090464096).

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

1120330400 is a wasteful number, since it uses less digits than its factorization.

1120330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1120330400 is about 33471.3369915216. The cubic root of 1120330400 is about 1038.6009293808.

Adding to 1120330400 its reverse (40330211), we get a palindrome (1160660611).

The spelling of 1120330400 in words is "one billion, one hundred twenty million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 70 74 80 100 112 140 148 160 175 185 200 224 259 280 296 350 370 400 518 560 592 700 740 800 925 1036 1120 1184 1295 1400 1480 1850 2072 2590 2800 2960 3700 4144 5180 5407 5600 5920 6475 7400 8288 10360 10814 12950 14800 20720 21628 25900 27035 29600 37849 41440 43256 51800 54070 75698 86512 103600 108140 135175 151396 173024 189245 200059 207200 216280 270350 302792 378490 400118 432560 540700 605584 756980 800236 865120 946225 1000295 1081400 1211168 1400413 1513960 1600472 1892450 2000590 2162800 2800826 3027920 3200944 3784900 4001180 4325600 5001475 5601652 6055840 6401888 7002065 7569800 8002360 10002950 11203304 14004130 15139600 16004720 20005900 22406608 28008260 30279200 32009440 35010325 40011800 44813216 56016520 70020650 80023600 112033040 140041300 160047200 224066080 280082600 560165200 1120330400