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1098241120 = 255131151347
BaseRepresentation
bin100000101110101…
…1101010001100000
32211112112102121001
41001131131101200
54222122203440
6300551041344
736133616104
oct10135352140
92745472531
101098241120
11513a23899
12267970254
131466b6222
14a5c01904
1566639b9a
hex4175d460

1098241120 has 96 divisors (see below), whose sum is σ = 2639298816. Its totient is φ = 431808000.

The previous prime is 1098241117. The next prime is 1098241121. The reversal of 1098241120 is 211428901.

It is a super-2 number, since 2×10982411202 = 2412267115317708800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098241121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3164787 + ... + 3165133.

It is an arithmetic number, because the mean of its divisors is an integer number (27492696).

Almost surely, 21098241120 is an apocalyptic number.

1098241120 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 1098241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319649408).

1098241120 is an abundant number, since it is smaller than the sum of its proper divisors (1541057696).

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

1098241120 is a wasteful number, since it uses less digits than its factorization.

1098241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1098241120 is about 33139.7211816877. The cubic root of 1098241120 is about 1031.7296228975.

The spelling of 1098241120 in words is "one billion, ninety-eight million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 151 160 262 302 347 524 604 655 694 755 1048 1208 1310 1388 1510 1735 2096 2416 2620 2776 3020 3470 4192 4832 5240 5552 6040 6940 10480 11104 12080 13880 19781 20960 24160 27760 39562 45457 52397 55520 79124 90914 98905 104794 158248 181828 197810 209588 227285 261985 316496 363656 395620 419176 454570 523970 632992 727312 791240 838352 909140 1047940 1454624 1582480 1676704 1818280 2095880 3164960 3636560 4191760 6864007 7273120 8383520 13728014 27456028 34320035 54912056 68640070 109824112 137280140 219648224 274560280 549120560 1098241120