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1120055200 = 255211177487
BaseRepresentation
bin100001011000010…
…1010111110100000
32220001120200212221
41002300222332200
54243213231300
6303050400424
736520212025
oct10260527640
92801520787
101120055200
11525273060
12273130114
1314b083274
14a8a7d54c
15684e831a
hex42c2afa0

1120055200 has 144 divisors (see below), whose sum is σ = 3158797824. Its totient is φ = 383283200.

The previous prime is 1120055171. The next prime is 1120055213. The reversal of 1120055200 is 25500211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145857 + ... + 153343.

It is an arithmetic number, because the mean of its divisors is an integer number (21936096).

Almost surely, 21120055200 is an apocalyptic number.

1120055200 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 1120055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912).

1120055200 is an abundant number, since it is smaller than the sum of its proper divisors (2038742624).

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

1120055200 is a wasteful number, since it uses less digits than its factorization.

1120055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1120055200 is about 33467.2257589421. The cubic root of 1120055200 is about 1038.5158811420.

Adding to 1120055200 its reverse (25500211), we get a palindrome (1145555411).

The spelling of 1120055200 in words is "one billion, one hundred twenty million, fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 68 80 85 88 100 110 136 160 170 176 187 200 220 272 275 340 352 374 400 425 440 544 550 680 748 800 850 880 935 1100 1360 1496 1700 1760 1870 2200 2720 2992 3400 3740 4400 4675 5984 6800 7480 7487 8800 9350 13600 14960 14974 18700 29920 29948 37400 37435 59896 74800 74870 82357 119792 127279 149600 149740 164714 187175 239584 254558 299480 329428 374350 411785 509116 598960 636395 658856 748700 823570 1018232 1197920 1272790 1317712 1400069 1497400 1647140 2036464 2058925 2545580 2635424 2800138 2994800 3181975 3294280 4072928 4117850 5091160 5600276 5989600 6363950 6588560 7000345 8235700 10182320 11200552 12727900 13177120 14000690 16471400 20364640 22401104 25455800 28001380 32942800 35001725 44802208 50911600 56002760 65885600 70003450 101823200 112005520 140006900 224011040 280013800 560027600 1120055200